Chemistry Forensic Science.................................................................................................................................... 626

3 CHEM 336: Modern Analytical Chemistry 2 CHEM 337: Modern Analytical Chemistry Lab 3 PHYS 210: Fundamentals of Physics I 1 PHYS 211: Fundamentals of Physics I Lab 3 PHYS 212: Fundamentals of Physics II 1 PHYS 213: Fundamentals of Physics II Lab 3 Calculus 1/MATH 140 (required) (Quantitative Reasoning) 3 Calculus 2/MATH 141 (required) 3 Foundational English 3 Foundational Philosophy 3 Foundational Theology 3 Integrative English 39

SENIOR YEAR 3 CHEM 325: Organic Spectroscopic Methods 1 CHEM 326: Organic Spectroscopic Methods Lab 3 CHEM 331: Physical Chemistry I 1 CHEM 332: Physical Chemistry I Lab (Writing Intensive Requirement) 3 CHEM 334: Physical Chemistry II 1 CHEM 335: Physical Chemistry II Lab 1 CHEM 356: Chemical Literature 11 Chemistry Electives 3 Global Citizenship 3 Aesthetic Reasoning 3 Professional Ethics and Lead 3 Professional Communication 36

Recommend: MATH 242: Calculus 3

Prerequisites

• One year of General Chemistry • One semester of Calculus (meets Quantitative Reasoning requirement) Students will be permitted to take other courses in substitution for any course listed above which they have satisfactorily completed prior to admission into the Next Step program. Next Step students can transfer courses equivalent to Liberal Studies Core course but must take a minimum of 12 credits of Liberal Studies Core courses at Gannon. Courses in Foundational Theology and Foundational Philosophy must be taken at Gannon. The Scientific Reasoning requirement will be met in the major.

CHEMISTRY MINOR

Students interested in a chemistry minor should follow the matrix below (24 credits total): CHEM 111 and 112 General Chemistry I and Lab 4 credits CHEM 114 and 115 General Chemistry II and Lab 4 credits CHEM 221 and 222 Organic Chemistry I and Lab 4 credits CHEM 224 and 225 Organic Chemistry II and Lab 4 credits

An additional 8 credits of upper-level chemistry courses selected from the following list must be completed successfully: CHEM 325 and 326 Organic Spectroscopic Methods and Lab 4 credits CHEM 331 and 332 Physical Chemistry I and Lab 4 credits

CHEM 334 and 335 Physical Chemistry II and Lab 4 credits CHEM 336 and 337 Introduction to Modern Analytical Chemistry and Lab 5 credits CHEM 361 and 362 Advanced Inorganic Chemistry and Lab 4 credits CHEM 366 and 367 Structural Biochemistry and Biochemical Lab 4 credits CHEM 414 Computational Chemistry 2 credits

Students may petition the Department Chair with requests outside of this list. CHEM 356: Chemical Literature and CHEM 380–385: Undergraduate Research are not accepted toward the chemistry minor.

COMMUNICATION SCIENCES AND DISORDERS

MARY MCDERMOTT, Ed.D., CCC-SLP, Chairperson

Speech Language Pathologists are medical professionals that prevent, assess, diagnose, and treat speech, language, social communication, cognitive communication, and swallowing disorders in children and adults. The Bachelor of Science degree in Communication Sciences and Disorders (CSD) at Gannon University is established as a baccalaureate program that involves a theoretical and practical professional curriculum consisting of liberal core studies, introductory and advanced courses in CSD, and clinical experiences relevant to the discipline and required to achieve the baccalaureate degree in this profession. This curriculum is carefully aligned with the necessary foundation to pursue an advanced degree in speech-language pathology and audiology and licensure requirements for the American Speech-Language and Hearing Association (ASHA). The Communication Sciences and Disorders undergraduate program prepares students to become health care professionals and educators who provide the highest standard of evidenced-based clinical and person-centered service to a multicultural and diverse population. This undergraduate program provides an academically comprehensive curriculum that prepares students with the theoretical foundation, scientific research, and ethical issues to become compassionate clinicians, critical thinkers, and developing servant leaders. Gannon’s undergraduate 4-year Communication Sciences and Disorders curriculum follows the Liberal Studies core courses and the necessary prerequisite standard courses for admission to an accredited graduate program in speech-language pathology as qualified by the American Speech-Language and Hearing Association and the Council on Academic Accreditation in Audiology and Speech-Language Pathology. The 3 + 2 program in Communication Sciences and Disorders/Speech-Language Pathology involves the undergraduate study of Communication Sciences and Disorders with direct admission to the Master of Science degree in Speech-Language Pathology at the Ruskin campus. This track enables a student to fulfill their undergraduate Liberal Studies core courses and the prerequisite courses for direct admission into the graduate program in Year 1, Year 2, and Year 3. At the end of the spring semester in Year 4, with completion of the first two semesters of the graduate curriculum, they will have successfully acquired the necessary 128 credits to graduate with the B.S. degree in Communication Sciences and Disorders. With successful completion of all six semesters of the graduate curriculum, the student will achieve the Master of Science degree in Speech-Language Pathology.

4-Year Bachelor of Science Admission Requirements

• Overall high school GPA of 3.0 or higher • SAT Score of 1090 or higher or ACT score of 21 or higher • Completion of math, biology, and chemistry courses in high school • Complete application

3 + 2 BS CSD/MS Speech-Language Pathology Admission Requirements

• An overall high school GPA of 3.0 or higher. • SAT score of 1120 or higher with an ACT score of 24 or higher. • Minimum of one Letter of Recommendation • A demonstrated interest through personal essay or experiential education in the field of speech-language pathology. • Demonstrated proficiency in high school biology and chemistry coursework. The student’s overall GPA will be reviewed at the end of Freshman and Sophomore year. The prerequisite GPA will be reviewed at the end of the Junior year for admittance to the graduate program.

COURSE DESCRIPTIONS

CSD 202: Introduction to Communication Disorders

Students will learn the various aspects of typical and disordered communication, including speech, language and hearing across the lifespan. The main goal of this course is to increase your understanding of basic communication processes and the challenges faced by individuals with communication disorders. 3 credits

CSD 302: Anatomy and Physiology of the Speech-Language, Hearing and Swallowing Mechanism

This course will provide a comprehensive overview of the skeletal, muscular, and neurological mechanisms underlying speech motor control, swallowing function, and the hearing mechanism. Students will learn coordinating respiration and upper vocal tract movements through nervous system control for speech and swallowing and the physiological and neural systems for hearing. Prerequisites: BIOL 115, BIOL 116, BIOL 117, BIOL 118, CSD 202 3 credits

CSD 305: Phonetics

In this course, students learn the production of sounds in general American English speech while learning the acoustic and articulatory properties of place, manner and voicing for each sound. Students will also gain practical skills in transcribing sounds in isolation and in contexts using the International Phonetic Alphabet, understand dialectical differences, speech rates across the lifespan, and listening and classifying normal speakers. 3 credits

CDS 308: Normal Speech and Language Development

This course will introduce students to normal speech and language development from the fundamentals of language acquisition theories, building blocks of language, brain and language, genetic and environmental factors that impact speech and speech development, developmental timelines for receptive and expressive communication, and phonological awareness. The course will also provide exposure to research on literacy and language development. 3 credits

CSD 312: Speech and Hearing Science

Basic science principles such as the evolution of speech production and the physical characteristics of speech sounds, acoustics of vowels and consonants, hearing science, and speech perception are covered in this course. Sound waves, resonance, decibels, and spectrogram readings are included in this course. Prerequisites: CSD 202, CSD 305 3 credits

CSD 315: Introduction to Audiology

In this course, students are introduced to the scope of practice, anatomy and physiology of peripheral and central auditory system, hearing science, air and bone conduction, audiometers and test environments, pure-tone and speech audiometry. Students will also learn the methods and techniques for the assessment, diagnosis, evaluation, and rehabilitation of hearing disorders and the impact of hearing loss on the quality of life. 3 credits

CSD 418: Communication Disorders in Children and Adults

This course will involve the study of the genetics, etiologies, diagnosis, and interventions for speech, language, and swallowing disorders in adults and children. Students will learn the concepts of prevention, education, advocacy, and treatment of disorders across the lifespan Prerequisites: CSD 202, CSD 305, CSD 315, CSD 302, CSD 308 3 credits

CSD 421: Counseling Individuals and Families with Communication Disorders

This course will involve the didactic review of human responses to loss and counseling techniques. Unique challenges to various communication disorders are covered to provide students with the underlying content needed to prepare for counseling behaviors in practice as a speech-language pathologist. Prerequisites: CSD 202, CSD 305, CSD 315, CSD 302, CSD 308, CSD 312 3 credits

CSD 424: Psychology of Communication

Students will learn how we communicate and the consequences of communication difficulty, dialects of English, the relationship between language and thought, culture, and society, and the relationship between language and the brain and mind, and the difference between listening and hearing. Prerequisites: CSD 202, CSD 305, CSD 315, CSD 302, CSD 308, CSD 312 3 credits

CSD 425: Introduction to Clinical Methods in Speech-Language Pathology

In this course, students will learn the principles and methods to plan and implement diagnostic and intervention procedures for individuals with speech, voice, language, and/or swallowing disorders. During this course, students will understand the case management, documentation, communication, and family/caregiver involvement for a comprehensive therapeutic plan in speech-language therapy that prepares for the transition to clinical practicum. Prerequisites: CSD 202, CSD 305, CSD 315, CSD 302, CSD 308, CSD 312 3 credits

CSD 428: Practicum

This course provides students with an introduction to the skills, competencies, and responsibilities related to the clinical practice of speech-language pathology. Students will gain an understanding of the principles of therapeutic intervention and procedure. Students will develop an increased understanding of the professional issues and clinical responsibilities in providing speech language pathology across the lifespan and within a diverse society. Students will earn 25 supervised, clinical observation hours. 1 credit

GGSLP 602: Clinical Methods Lab I: Pediatrics

This course provides the introductory knowledge and skills in clinical methods for diagnosis and treatment in communication and/or swallowing disorders in pediatric populations. General principles of clinical observation, assessment, and establishment of treatment goals, report writing, documentation, service delivery in various settings, and client admission and discharge criteria are emphasized. Topics on federal, state, and local laws, guidelines, and statutes in school settings, including FERPA, FAPE, IEPs, and RTI are presented. Goal writing in educational and other settings is highlighted including SMART goals and alternatives. Students will also become familiar with the University clinic and clinical handbook. Multicultural considerations in intervention of children with communication and/or swallowing disorders will also be addressed. 1 credit

GGSLP 605/607: Speech Sound Disorders and Lab

This course is designed to give students a foundation in the prevention, assessment, and treatment of speech sound disorders in children, emphasizing articulation and phonological delays. Students will initially learn foundation material such as normal acquisition of speech production skills in childhood, and characteristics of the speech sounds of English. Specific approaches and techniques for the remediation of the disorders will be presented. Multicultural issues in the assessment and treatment of sound speech disorders will also be addressed, as well as counseling strategies. 3 credits

GGSLP 608: Language Disorders in Children

This course introduces basic principles of prevention, assessment, and intervention for children with language impairments at the prelinguistic, emerging and developing language phases. Language differences versus language disorders will be addressed as well as complex medical concerns, etiologies, co-morbidities, and counseling strategies. Multicultural issues in the assessment and treatment of language disorders will be addressed as well. 2 credits

GGSLP 610: Diagnostic Methods in Speech-Language Pathology

This course is designed to provide students with a general understanding of the principles of diagnosis and evaluation of speech and language disorders. Students will gain experience in taking case histories, formulating an assessment battery, evaluating patients, writing the diagnostic reports, and interpreting the data to parents and/or involved disciplines. Students will be acquainted with fundamental principles and pitfalls to consider when making psychometric decisions in the assessment of speech and language skills. Multicultural issues will also be addressed, as well as counseling strategies. 3 credits

GGSLP 612: School-Age Language Disorders

This course will provide instruction in language disorders in school-age children and adolescents. Topics include assessment, collaborative intervention, and social, cultural, and linguistic implications for individuals with language disorders. Emphasis will be placed on the development of curriculum-based literacy skills and collaborative services delivery models. 2 credits

GGSLP 615: Neuroscience for Speech Language Pathology

This course is an intensive analysis and study of neuroanatomy and neurology for speech language pathology. It will cover the anatomy and neurological function of the central and peripheral nervous systems, embryology of the nervous system, completion of a neurological exam, taxonomy, anatomy of the diencephalon, basal ganglia, and ventricles, and neurology of speech, language, hearing, and cognition. 3 credits

GGSLP 618: Clinic I

This course provides students with their first clinical experiences with children and adults with communication disorders. The clinical experience will be supervised by program faculty in the University clinic or local sites. 1 credit

GGSLP 621/622: Adult-Cognitive Communicative Disorders and Lab

In this course, students learn about the evaluation and management of adult-cognitive communication disorders including concussion, TBI, CVA, aphasia, Parkinson’s disease, and dementia. The lab will involve the use of diagnostic tools and protocols, application of evidence-based interventions, and management of adult cognitive-linguistic disorders. 3 credits

GGSLP 623/626: Motor Speech Disorders and Lab

This course is designed to provide a comprehensive overview of acquired and developmental motor speech disorders in child and adult populations. The students will learn to differentiate the characteristics of disorders such as apraxia and dysarthria of speech from cognitivelinguistic, neurological non-organic disorders such as apraxia. The lab will involve criticalthinking skills as students will be introduced to the clinical applications to differentially diagnose neuro-motor speech disorders, learn to provide interventions, and understand the management of motor speech disorders in children and adults. 3 credits

GGSLP 624: Fluency Disorders

This course introduces fluency and fluency disorder terminology, classification, psychosocial impact, nature of stuttering, assessment, and treatment across the lifespan. 2 credits

GGSLP 625: Clinical Methods Lab II: Adults

This course is designed to advance the student’s clinical skills for greater independence taking patient history, selection of diagnostic tools, critical thinking for differential diagnosis of speech disorders in children and adults, writing comprehensive evaluations, and presenting case studies to peers to enhance verbal skills for all settings served by speech-language

pathologists. 1 credit

GGSLP 627/629: Voice and Velopharyngeal Disorders and Lab

This course builds upon foundational courses and introduces students to cleft lip and palate, assessing and treating velopharyngeal function and speech resonance, feeding concerns, anatomy and physiology of phonation, structural, neurologic, and psychogenic voice disorders, voice assessment, voice treatment, laryngectomy, tracheostomy, and singing. The lab addresses assessment, evaluation, and therapy. 3 credits

GGSLP 628: Clinic II

This course is the second in a series of early clinical experiences with children and adults with communication disorders. The clinical experience will be supervised by program faculty in the University clinic or local sites. 1 credit

GGSLP 630: Principles of Research and Evidence Based Practice

This course is the foundation for the research thread throughout the curriculum and will prepare the student for the synthesis and application of research within the scope of practice of speech-language pathology. This course will cover the topics of the scientific method, types of research, idea generation and innovation, identifying and locating relevant resources, how to read scientific literature, research ethics, statistics, formatting references, and literature review. 2 credits

GGSLP 632: Disorders in Special Populations

This course is designed for graduate level clinicians to gain knowledge in the medical, neurological, anatomical, and cognitive disorders of patients with specialized communication needs including patients with craniofacial anomalies, genetic syndromes, autism, central auditory processing, and current issues facing speech-language pathologists. 2 credits

GGSLP 638: Clinic III

This course is the third in a series of early clinical experiences with children and adults with communication disorders. The clinical experience will be supervised by program faculty in the University clinic or local clinical sites. 2 credits

GGSLP 733: Aural Rehabilitation

This course covers the topics related to aural rehabilitation including the impact of childhood hearing loss on families, family counseling, hearing aids and ear molds, cochlear implants, classroom acoustics, assistive listening devices, communication options, education of children with hearing loss, developing listening, literacy, and speaking skills, adults with hearing loss, speechreading, communication strategies training, and co-morbidities. 2 credits

GGSLP 736/737: Swallowing Disorders and Lab

This course builds on prior courses with a focus on swallowing disorders. The course begins with examination of the upper aero-digestive tract developmental anatomy and physiology and neurogenic and structural dysphagia, and continues to instrumental and bedside evaluation, treatment strategies, ethical issues, and classification of swallowing disorders. The lab will provide students with an overview of the diagnostic protocols, medical assessments, bed-side evaluations, radiological evaluations, and evidence-based interventions for adult and child populations with swallowing disorders. 3 credits

GGSLP 739: Hearing Disorders

This course is designed to focus on hearing disorders and will cover the topics of incidence and impact of conductive and sensorineural hearing loss, screening hearing impairment and disability, screening middle ears, comprehensive aural rehabilitation, screening and treating auditory processing disorder, interpreting audiograms, genetic and non-genetic etiologies, counseling and healthy coping strategies, and classroom acoustics/amplification. 3 credits

GGSLP 743: Augmentative and Alternative Communication

This course is designed to expose students to augmentative and alternative forms of communication used to support or treat patients with communication disorders. The types of communication covered in this course include messages, symbols, rate enhancement, low-tech

devices, high-tech devices, programming devices, training users and communication partners, toting and mounting communication devices, and report writing. 3 credits

GGSLP 746: Professional Issues

This course is designed to build the student’s professional competency, preparation for certification/licensure, and future employment. Topics covered within the course include professional ethics, certification/licensure requirements, accreditation process, clinical fellowship, continuing education, tele-practice, billing and coding, advocacy, marketing, private practice, doctoral education, scope of practice, and best practices to seek employment. 3 credits

GGSLP 748: Clinic IV

This course is the fourth in a series of clinical experiences with children and adults with communication and/or swallowing disorders. This course is a more intensive and progressive experience supervised by clinical educators off-site. 4 credits

GGSLP 758: Clinic V

This course is the fifth in a series of clinical experiences with children and adults with communication and/or swallowing disorders. This is a more intensive and progressive experience supervised by clinical educators off-site. 4 credits

GGSLP 768: Clinic VI

This is the final clinical experience with children and adults with communication and/ or swallowing disorders. This experience is a more intensive and progressive experience supervised by clinical educators off-site. 4 credits

GGSLP 780: Capstone

This course is designed to serve as the final culminating experience within the curriculum. The student will integrate their didactic, clinical, research, and other experiential learning into a final portfolio and presentation. 2 credits

COMMUNICATION SCIENCES AND DISORDERS Recommended Schedule of Courses

(Numerals in front of courses indicate credits) FRESHMAN Fall 2 First Year Seminar/FYS 3 College Composition/LENG 111 4 Human A&P I and Lab/ BIOL 115 and 116 3 Found. of Theo. and Christ. Moral./ LTHE 101 3 Introduction to Philosophy/LPHI 131 15 Spring 3 History without Borders/LHST 111 3 Critical Analysis and Composition/ LENG 112 4 Human A& P II and Lab/ BIOL 117 and 118 4 Chemistry of Life I and Lab/ CHEM 103 and 104 3 Speech/SPCH* 17

SOPHOMORE Fall 3 Introduction to Communication Disorders/CSD 202 3 Concepts in Physics/PHYS 101 3 Intro to Psychology/PSYC 111 3 The Bible: An Introduction/LTHE 201 3 Philosophy II Series/LPHI* 15 Spring 3 Phonetics/CSD 305 3 Introduction to Audiology/CSD 315 3 Applied Statistics/MATH 213 or Psych Statistics/PSYC 211 3 Literature Series/LENG* 6 General Electives 18

JUNIOR Fall 4 Research Methods and Lab/PSYC 303 3 Fine Art Series/LFIN* 3 Anat. and Physiology of Communication/CSD 302 6 General Electives

16 Spring 1 Leadership Seminar* 3 LTHE III* or LPHI 237 Ethical Responsibility 3 Normal Speech and Language Development/CDS 308 3 Speech and Hearing Science/CSD 312 6 General Electives 16

SENIOR Fall 3 Comm. Disorders in Children and Adults/CSD 418 3 Counseling Individuals and Families/ CSD 421 3 Psychology of Communication/CSD 424 6 General Electives 15 Spring 3 Intro. To Clinical Methods in SLP/ CSD 425 1 Practicum in SLP/CSD 428 3 Senior Capstone* 9 General Electives

16

* Please refer to the undergraduate catalog for course options.

COMMUNICATION SCIENCES AND DISORDERS Recommended Schedule of Courses with a Study Abroad Semester

(Numerals in front of courses indicate credits) FRESHMAN Fall 2 First Year Seminar/FYS 3 College Composition/LENG 111 4 Human A&P I and Lab/ BIOL 115 and 116 3 Found. of Theo. and Christ. Moral./ LTHE 101 3 Introduction to Philosophy/LPHI 131 15 Spring 3 History without Borders/LHST 111 3 Critical Analysis and Composition/ LENG 112 4 Human A& P II and Lab/ BIOL 117 and 118 4 Chemistry of Life and Lab I/ CHEM 103 and 104 3 Speech/SPCH* 17

SOPHOMORE Fall 3 Introduction to Communication Disorders/CSD 202 3 Concepts in Physics/PHYS 101 3 Intro to Psychology/PSYC 111 3 The Bible: An Introduction/LTHE 201 3 Literature Series/LENG*

15 Spring 3 Phonetics/CSD 305 3 Introduction to Audiology/CSD 315 3 Applied Statistics/MATH 213 or Psych. Statistics/PSYC 211 3 Anat. and Physiology of Communication/CSD 302 6 General Electives 18

JUNIOR Fall – Recommended Study Abroad Semester† 3 Philosophy II Series/LPHI* 3 Fine Art Series/LFIN* 3 LTHE III* or LPHI 237 Ethical Responsibility 6 General Electives

15 Spring 1 Leadership Seminar* 4 Research Methods and Lab/PSYC 303 3 Normal Speech and Language Development/CDS 308 3 Speech and Hearing Science/CSD 312 6 General Electives 17

SENIOR Fall 3 Comm. Disorders in Children and Adults/CSD 418 3 Counseling Individuals and Families/ CSD 421 3 Psychology of Communication/CSD 424 6 General Electives 15 Spring 3 Intro. To Clinical Methods in SLP/ CSD 425 1 Practicum in SLP/CSD 428 3 Senior Capstone* 9 General Electives

16

3 + 2 CSD/MASTER IN SPEECH-LANGUAGE PATHOLOGY Recommended Schedule of Courses

(Numerals in front of courses indicate credits) FRESHMAN Fall 3 Foundational English 3 Foundational Philosophy 4 Chemistry of Life I and Lab/ CHEM 103 and 104 3 Intro. to Communication Disorders/ CSD 202 4 Human Anatomy and Physiology and Lab/BIOL 115 and 116 0 Gannon 101 17 Spring 3 Introduction to Audiology/CSD 315 3 Foundational Theology 3 Phonetics/CSD 305 3 General Elective 4 Human Anatomy and Physiology and Lab/BIOL 117 and 118 16

SOPHOMORE Fall 3 Concepts in Physics/PHYS 101 3 Anatomy and Physiology of Communication/CSD 302 3 Integrative Communication 3 Intro to Psychology/PSYCH 111 3 Integrative History

15 Spring 3 Integrative Theology 3 Integrative English 3 Normal Speech and Language Development/CSD 308 3 Applied Statistics/MATH 213 or Psych. Stats/PSYCH 211 3 Global Citizenship 15

SUMMER 1 Practicum/CSD 428 (1) 1

JUNIOR Fall 3 Social Psychology/PSYC 225 3 Aesthetic Reasoning 3 Professional Ethics and Leadership 3 Speech and Hearing Science/CSD 312 3 Counseling Individuals and Families/ CSD 421

15 Spring 3 Professional Communication 3 Integrative Philosophy 3 Communication Disorders in Adults and Children/CSD 418 3 Introduction to Clinical Methods 1 Practicum in Speech-Language Pathology/CSD 428 3 General Electives 16

SENIOR Fall 3 Neuroscience for Speech-Language Pathology/GSLP 615 3 Speech Sound Disorders and Lab/ GSLP 605 and 607 2 Language Disorders in Children/ GSLP 608 3 Diagnostic Methods in Speech-Lang. Pathology/GSLP 610 1 Clinical Methods Lab I: Pediatrics/ GSLP 602 1 Clinic I/GSLP 618 13 Spring 3 Motor Speech Disorders and Lab/ GSLP 623 and 626 2 School-Age Language Disorders/ GSLP 612 3 Voice and Resonance Disorders and Lab/ GSLP 627 and 629 2 Fluency Disorders/GSLP 624 2 Principles of Research and Evidence-Based Practice/GSLP 630 1 Clinic II/GSLP 628

13

SUMMER 3 Adult Cognitive and Communicative Disorder and Lab/GSLP 621 and 622 1 Clinical Methods Lab II: Adults/GSLP 625 3 Swallowing Disorders and Lab/GSLP 736 and 737 2 Clinic III/GSLP 638 9

FIFTH YEAR Fall 2 Aural Rehabilitation/GSLP 733 3 Hearing Disorders/GSLP 739 4 Clinic IV/GSLP 748

9

SUMMER Fall 1 Capstone II/GSLP 784 3 Professional Issues/GSLP 746 4 Clinic VI/GSLP 768 8 Spring 3 Augmentative and Alternative Communication/GSLP 743 2 Disorders in Special Populations/ GSLP 632 1 Capstone I/GSLP 782 4 Clinic V/GSLP 758 10

Total Credits: 120

MATHEMATICS

GEOFFREY DIETZ, Chairperson FACULTY: Professors: Michael Caulfield, Geoffrey Dietz, Patrick Headley, David Prier. Assistant Professors: Christine Cedzo, Richard Ligo.

Aims and Objectives

Mathematics majors at Gannon must satisfactorily complete a minimum of forty-eight credits ranging over such areas as discrete mathematics, calculus, abstract algebra, mathematical analysis, probability, statistics, linear algebra, differential equations, and mathematical modeling. In addition, mathematics majors will receive a significant career-enhancing experience through placement in an appropriate internship position or through a challenging undergraduate research project. The Mathematics curriculum is designed to allow students to develop a strong secondary interest in allied fields such as business, computer science, economics, physics, biology, chemistry, engineering or education. There is ample opportunity to select the most beneficial combination of courses to achieve the student’s goals. The content of a particular student’s curriculum requires department approval to ensure proper competency by graduation. Mathematics majors receive preparation for the first Actuarial Exam administered by the Society of Actuaries. Students who pursue a concentration in Actuarial Science will receive preparation for an additional exam. This competency required of students in mathematics has resulted in careers in research, in education at all levels, and in technical positions in industry and government. Mathematicians are increasingly in demand in today’s employment market. Mathematics majors, by satisfying additional requirements of the School of Education, can earn Teacher Certification in Secondary Education for the State of Pennsylvania.

COURSE DESCRIPTIONS

MATH 055: Algebra Refresher

Exponents, polynomial and rational expressions, factoring, linear equations and inequalities, rational equations, graphing, functions, and applications. This course will meet 4 hours per week during a regular semester, but will count as 3 credits of load for student financial aid and quality point average considerations. It may not be used to satisfy any graduation requirements in any degree program. Prerequisite: One year of high-school algebra 3 credits (see description)

MATH 101: Mathematics in Human Progress

Most of the mathematics discussed has been developed in the last century. Topics covered are based on down-to-earth, real-life problems and will include: Mathematics of social choice including group decision making and democratic voting methods; Management science including methods for solving problems involving organization and management of complex activities; Growth and symmetry including population growth, geometrical patterns of biological growth and fractals. Prerequisite: Two years of high-school algebra or MATH 055 3 credits, Spring

MATH 103: Quantitative Literacy

This course covers a broad array of practical mathematical topics found in everyday life. Topics include: number sense, charts and graphs, basic probability and statistics, linear and exponential models, financial mathematics, geometry, and logic. Prerequisite: Two years of high school algebra or MATH 055 3 credits, Fall

MATH 105: Fundamentals of Mathematics

This course investigates the nature of mathematical relationships through problem solving. Topics include basic number theory, algebraic topics, geometry, and systems of numeration. Prerequisite: Two years of high school algebra. 3 credits, Spring

MATH 111: College Algebra

Polynomial, rational, radical, exponential, and logarithmic functions and equations; systems of equations; matrices and determinants; sequences and series; binomial theorem. Prerequisite: Two years of high school algebra or MATH 055 3 credits, Fall, Spring, online

MATH 112: Trigonometry

Trigonometric functions, radian measure, trigonometric identities and equations, solution of triangles, vectors. Prerequisite: MATH 111, or concurrently with MATH 111 or equivalent competency. 3 credits, Fall, Spring

MATH 115: Applied Mathematics for Business

The course provides a mathematical foundation for students majoring in business. Topics include linear, quadratic, exponential, and logarithmic functions; mathematics of finance; limits; differentiation; and applications of differentiation. Applications to business and economics are emphasized throughout the course. Prerequisite: Two years of high school algebra. 3 credits, Fall, Spring

MATH 135: Precalculus

The course addresses concepts in algebra and trigonometry through the use of functions. The relationship between functions and their graphs is examined in detail. The course also covers topics in the mathematics of functions such as composition and inverses. Rates of change are studied with a view toward calculus. Prerequisite: Two years of high school algebra. 3 credits

MATH 140: Calculus 1

Limits; derivatives of algebraic and trigonometric functions; graphing; related rates; optimization problems. Prerequisite: Trigonometry. 3 credits, Fall, Spring

MATH 141: Calculus 2

The definite and indefinite integrals; applications of integration; techniques of integration; calculus of the exponential, logarithmic, and other transcendental functions. Prerequisite: MATH 140 3 credits, Fall, Spring

MATH 213: Applied Statistics

Introduction to statistics and probability designed for all majors. Topics include measures of central tendency and dispersion, combinations and permutations, discrete and continuous probability distributions, normal probability distributions, sampling distributions, testing hypotheses, Chi-Square applications, linear regression and correlation. Prerequisite: High school algebra 3 credits, Fall, Spring

MATH 222: Discrete Mathematics 1

Logic, sets, methods of mathematical proof, functions, mathematical induction, counting methods, recurrence relations, graphs. Prerequisite: MATH 111, MATH 115 or MATH 140 3 credits, Fall

MATH 223: Discrete Mathematics 2

Algorithms, relations, topics in graph theory, tree traversal, spanning trees, Boolean algebra, logic gates, circuits, automata, Turing machines. Prerequisite: MATH 222 3 credits, Spring

MATH 226: Geometry

Synthetic, analytic, metric, and transformational approaches to geometry, emphasizing the importance of definitions, axioms, and proof in geometry. Ancient and modern approaches to axioms, Euclid’s Elements, triangle concurrences, plane isometries, and symmetry groups.

Coordinate, taxicab, and hyperbolic geometries including the Poincare disk model. Use of geometric software. Prerequisite: MATH 222 3 credits, Fall, odd years

MATH 242: Calculus 3

Infinite sequences and series; power series; Taylor series and polynomials; parametric equations; polar coordinates; vectors in the plane and space; vector-valued functions. Prerequisite: MATH 141 3 credits, Fall, Spring

MATH 243: Calculus 4

Partial differentiation; multiple integration; vector calculus. Prerequisite: MATH 242 3 credits, Fall, Spring

MATH 252: Linear Algebra

Systems of linear equations; matrix algebra; determinants; vector spaces; linear transformations; eigenvalues and eigenvectors; inner products. Prerequisite: MATH 242 3 credits, Spring

MATH 260: History of Mathematics

Survey of the development of mathematics from the earliest historic times to the present. A true appreciation of mathematics is developed through the knowledge of the history of mathematics. The cultural and historical significance of mathematics will be discussed. Prerequisite: MATH 140 3 credits, Spring, odd years

MATH 301: Mathematical Analysis 1

Elementary set theory; properties of the real numbers; topology of the real line; sequences of functions; limits of functions; continuity; uniform continuity; differentiation of real-valued functions; integration. Prerequisite: MATH 222 and MATH 242 3 credits, Fall, even years

MATH 302: Mathematical Analysis 2

Additional topics in real analysis: integration; infinite series; differentiation of vector-valued functions; integration of vector-valued functions. Prerequisite: MATH 301 3 credits

MATH 304: Differential Equations

Ordinary differential equations (ODEs) with applications to science and engineering. Solution methods for first-order ODEs, linear ODEs, and systems of ODEs; Laplace transforms; numerical methods; and critical point behavior. Prerequisite: MATH 242 3 credits, Fall, Spring

MATH 308: Applied Complex Variables

A study of complex algebra, analytic functions, integration in the complex plane. Taylor and Laurent expansions, singularities, calculus of residues and meromorphic functions. Prerequisite: MATH 243 3 credits, Spring, odd years

MATH 309: Abstract Algebra

Fundamentals of groups, rings, fields, and homomorphisms. Prerequisite: MATH 222 and MATH 252 3 credits, Fall, odd years

MATH 310: Number Theory and Cryptography

Introduction to the theory of integers and basic cryptography. Topics include: primes, divisibility, unique factorization, congruences, applications to cryptography (including RSA and Diffie-Hellman), primitive roots, and quadratic reciprocity. Prerequisite: MATH 222 3 credits, Spring

MATH 312: Probability and Statistics 1

Enumeration, probability, independence, probability distributions, random variables, expectation, mean, variance, moment generating functions, Central Limit Theorem, sampling distributions, and other selected topics. Prerequisite: MATH 141 3 credits, Fall

MATH 313: Probability and Statistics 2

Point and interval estimations, hypothesis testing, Neyman-Pearson lemma, likelihood ratio tests, tests concerning means, proportions and variances, Chi-square tests, analysis of variance, regression, correlation analysis, nonparametric methods. Prerequisite: MATH 312 3 credits, Spring, odd years

MATH 314: Numerical Analysis

Taylor polynomials, machine representation of numbers, computational error, interpolation, root finding, systems of linear equations, curve fitting, numerical differentiation and integration. Prerequisites: MATH 141 and CIS 180 3 credits, Spring, odd years

MATH 320: Mathematical Modeling

Construction and analysis of mathematical models for the solution of ‘real-world’ problems. Topics discussed may include genetics, predator-prey problems, population growth, spread of disease, finance, etc. Prerequisite: MATH 304 This course has a Service–Learning component. 3 credits, Fall

MATH 331: Financial Mathematics 1

A course in the mathematical theory of interest. Time value of money; annuities; loan repayment; bonds; general cash flows and portfolios; immunization. This course follows the syllabus for the actuarial exam FM/2. Prerequisite: MATH 242 3 credits, Fall, odd years

MATH 332: Financial Mathematics 2

A course in financial economics and derivatives markets. General derivatives; forwards and futures; swaps; hedging and risk management; European, American, and exotic options; Brownian motion; valuation of derivatives including binomial and Black-Scholes models; Monte-Carlo simulation; binomial interest rate models. Prerequisite: MATH 331, Corequisite: MATH 304 3 credits, Spring, even years

MATH 341: Methods of Teaching Secondary Mathematics

This course is designed to prepare students to teach mathematics in secondary schools. It includes an examination of theories, research, and methods related to student learning and achievement in mathematics. Students will teach a variety of mathematics lessons as well as analyze the strategies of others. Students will also gain experience with graphing calculators and Geometer’s Sketchpad. Prerequisite: MATH 243 3 credits, Fall, odd years

MATH 375: Internship

Student obtains professional work experience in a position involving substantial use of mathematics. Prerequisite: Permission of advisor. 3 credits

MATH 380: Undergraduate Mathematics Research

Student obtains an introduction to the nature and methods of modern mathematics research after selection of an appropriate project under the guidance of a faculty mentor. 3 credits

MATH 391-394: Directed Study in Mathematics

Supervised reading in selected subjects approved by a three-person department committee. May be taken more than once for a total of at most four credits. Prerequisite: Approval of faculty supervisor. 1-3 credits

MATH 395-399: Special Topics in Mathematics

Topics which are not covered by regularly scheduled courses but have the approval of a department committee. At most six credits of Special Topics may be used toward meeting departmental requirements for mathematics electives. Prerequisite: Consent of the department chair. 3 credits

Mathematics Curriculum

(Numerals in front of courses indicate credits) FRESHMAN Fall 3 Foundational English 3 Foundational Philosophy 3 Integrative History 3 Calculus 1/MATH 140 3 Prob Solv and Comp Prog w Lab/ CIS 180/181 0 Gannon 101 15

SOPHOMORE Fall 3 Integrative Philosophy 3 Global Citizenship 3 Discrete Math 1/MATH 222 3 Calculus 3/MATH 242 4 Science with lab *1 16

JUNIOR Fall 3 MATH 301 or 309 *2 3 MATH 312: Prob and Stats 1/ 3 General Elective 3 General Elective 1 General Elective 13

SENIOR Fall 3 Professional Ethics and Leadership 3 MATH 301 or 309 *2 3 Mathematical Modeling/MATH 320 3 General Elective 3 General Elective 15 Spring 3 Foundational Theology 3 Integrative English 3 Calculus 2/MATH 141 3 Applied Statistics/MATH 213 3 CIS 182/183 or CIS 210 or CIS 255

15

Spring 3 Integrative Theology 3 Integrative Communication 3 Calculus 4/MATH 243 3 Linear Algebra/MATH 252 4 Science with lab *1 16

Spring 3 Differential Equations/MATH 304 3 MATH elective 3 300-level MATH elective *3 3 Aesthetic Reasoning 3 General Elective 15

Spring 3 Professional Communication 3 MATH 375 or 380 3 300-level MATH elective *3 3 MATH elective 3 General Elective 15

Total Credits: 120

*1 Complete an 8-credit sequence of courses and labs: BIOL 122-125, CHEM 111/112 and 114/115,

PHYS 210/211 and 212/213, or PHYS 210/211 and 214/215. *2 Required Mathematics: MATH 301 (Fall even years) and MATH 309 (Fall odd years) *3 two MATH sequences by taking two of MATH 308, 310, 313, or 332. NOTE: At least one course above must be designated as Writing Intensive and two must be designated as Wellness

Mathematics Curriculum with Secondary Education 7-12

Students majoring in Mathematics qualify for Teacher Certification in Mathematics/ Secondary Education.

Aims and Objectives

The objectives of the program are: (1) to give the students an opportunity to become broadly educated in the areas of Mathematics, and (2) to provide a program of teacher education which promotes growth, development, professionalism, and expertise for successful teaching. Students who wish to prepare themselves as secondary Mathematics teachers must make formal application to the teacher education program through the School of Education. For a detailed explanation of all requirements refer to the catalog portion under Education.

(Numerals in front of courses indicate credits) FRESHMAN Fall 3 Problem Solving/Computer Prog/Lab/ CIS 180/181 3 Foundations of Education*/EDCR 106 3 Foundational English 3 Foundational Philosophy 3 Calculus 1/MATH 140 3 Special Education Overview/SPED 101 0 Gannon 101

18 Spring 3 CIS 182/183 or CIS 210 or CIS 255 3 Instructional Design/Classroom Mgmt/

EDCR 105

0 Secondary Educ Field Experience I+/

EDFL 101

3 Foundational Theology 3 Integrative English 3 Calculus 2/MATH 141 3 Applied Statistics/MATH 213 18

SOPHOMORE Fall 3 Aesthetic Reasoning 3 Am/Brit/Intro Literature – PDE Required/LENG/ENGL 3 Discrete Mathematics 1/MATH 222 3 Calculus 3/MATH 242 4 Science w/Lab *2 – Scientific Reasoning

16 Spring 3 Global Citizenship 3 Integrative Theology 3 Calculus 4/MATH 243 3 Linear Algebra/MATH 252 3 MATH 260 or MATH 304 *1 3 Adolescent Development (WI)/ MLED 202

18

JUNIOR Fall 3 Integrative Communication 3 MATH 226 or MATH 341 *3 3 MATH 301 or MATH 309 *4 3 Probability/Statistics 1/MATH 312 4 Science w/lab *2

16 Spring 3 Methods/Materials for Instruction/

EDCR 320

0 Secondary Educ Field Experience II+/

EDFL 102

3 Methods/Materials: ESL/ELL*/ EDCR 420 3 Integrative History 3 MATH 260 or MATH 304*1 3 MATH 308 or MATH 310*5 3 Meeting Learning Needs Students w/Exceptionalities: 7-12*/SPED 340

18

SENIOR Fall 3 Assessment/Evaluation/EDCR 330 0 Secondary Educ Field Experience III+/

EDFL 103

3 MATH 226 or MATH 341 *3 3 MATH 301 or MATH 309 *4 3 Mathematical Modeling/MATH 320 3 Literacy Dev, Strategies/Assessments++/ MLED 301 3 Integrative Philosophy 18 Spring 3 Professional Seminar (Prof. Ethics/ Leadership)/EDCR 401 12 Student Teaching (Prof. Comm/ EDFL 410

15

Total Credits: 137

*1 Required Mathematics: MATH 260 (Spring, odd years) and MATH 304 (Spring, even years) *2 Required Science: BIOL 122-125, CHEM 111/112 and 114/115, PHYS 210/211 and 212/213, or

PHYS 210/211 and 214/215. (PHYS is recommended.) *3 Required Mathematics: MATH 226 (Fall, even years) and MATH 341 (Fall, odd years) *4 Required Mathematics: MATH 301 (Fall, even years) and MATH 309 (Fall, odd years) *5 Required Mathematics: MATH 308 (Spring, odd years) or MATH 310 (Spring, all years)

* Field experience embedded throughout the semester (6-15 hours) ++ Field experience embedded throughout the semester (30 hours) + Field experience embedded throughout the semester (60 hours) Field experiences require a grade of P (Passing).

• All education courses require a grade of C or better. • Foundational/Integrative English, Literature, and six credits of math require a grade of

C or better. • A GPA of 3.0 or greater is required of all students seeking teacher certification. • Education majors must apply for SOE formal acceptance between 48 and 60 credit hours.

Mathematics Curriculum with Concentration in Actuarial Science

This concentration augments the mathematics curriculum with courses in Economics, Finance, Risk Management, and Financial Mathematics. It provides preparation for two exams administered by the Society of Actuaries and the Casualty Actuarial Society: P/1 (Probability) and FM/2 (Financial Mathematics). In addition, the curriculum has been approved by the actuarial societies as satisfying Validation by Educational Experience (VEE) requirements in Economics, Accounting and Finance, and Mathematical Statistics.

(Numerals in front of courses indicate credits) FRESHMAN Fall 3 Foundational English 3 Foundational Philosophy 3 Calculus 1/MATH 140 3 Prob Solv and Comp Prog w Lab/ CIS 180/181 3 Principles of Microecon./BCOR 111 0 Gannon 101 15 Spring 3 Foundational Theology 3 Calculus 2/MATH 141 3 Applied Statistics/MATH 213 3 CIS 210 or CIS 255 3 Principles of Macroecon./BCOR 112

15

SOPHOMORE Fall 3 Integrative English 3 Discrete Math 1/MATH 222 3 Calculus 3/MATH 242 3 Principles of Accounting I/BCOR 214 4 Science with lab *1 16 Spring 3 Integrative Communication 3 Calculus 4/MATH 243 3 Linear Algebra/MATH 252 3 Principles of Accounting II/BCOR 215 4 Science with lab *1 16

JUNIOR Fall 3 Integrative Philosophy 3 MATH 301 or 309 *2 3 MATH 312 or 331 (Wellness) *3 3 Financial Mgmt. I (Wellness)/BCOR 311 1 General Elective 13 Spring 3 Integrative Theology 3 Global Citizenship 3 Differential Equations/MATH 304 3 MATH 313 or 332 *4 3 Financial Mgmt. II/FINC 312 15

SENIOR Fall 3 Integrative History 3 Professional Ethics and Leadership 3 MATH 301 or 309 *2 3 MATH 312 or 331 (Wellness) *3 3 Mathematical Modeling/MATH 320 15 Spring 3 Professional Communication 3 Aesthetic Reasoning 3 MATH 313 or 332 *4 3 MATH 375 or 380 3 MATH elective 15

Total Credits: 120

*1 Complete an 8-credit sequence of courses and labs: BIOL 122-125, CHEM 111/112 and 114/115,

PHYS 210/211 and 212/213, or PHYS 210/211 and 214/215. *2 Required Mathematics: MATH 301 (Fall even years) and MATH 309 (Fall odd years) *3 Required Mathematics: MATH 312 (Fall even years) and MATH 331 (Fall odd years) *4 Required Mathematics: MATH 313 (Spring odd years) and MATH 332 (Spring even years) NOTE: At least one course above must be designated as Writing Intensive .