MAC 2241 — Life Sciences Calculus I — Syllabus

Prerequisites: C (2.0) or better in MAC 1114, or C (2.0) or better in MAC 1147, or SAT Math score of 650 or better, or ACT Math score of 29 or better, or College-Level Math CPT score of 90 or better, and knowledge of trigonometry.

Course Description: The course has two different formats: daytime sections have three 50-minute lectures per week and two 50-minute help sessions; evening sections have two 105-minute lectures per week. Successful completion of the course merits 4 semester hours of credit. The schedule outlined below allows time for four midterm exams plus a cumulative final exam, which are the norms for this course. (Note: A “lecture” is defined as a 50-minute time period.)

Foundations of Knowledge & Learning: This course is part of the University of South Florida’s Foundations of Knowledge and Learning (FKL) Core Curriculum. It is certified for Mathematics and Quantitative Reasoning and will meet the following four dimensions: Critical Thinking, Inquiry-based Learning, Scientific Processes, and Quantitative Literacy. Students enrolled in this course will be expected to participate in the USF General Education assessment effort. This might involve answering questions that measure quantitative reasoning skills (but are not directly related to the course), responding to surveys, or participating in other measurements designed to assess the FKL Core Curriculum learning outcomes.

Text: Calculus for Biology and Medicine, 3rd Edition, by Neuhauser

Course Content

Chapter 1: Preview and Review (one week)

1.1 Preliminaries
1.2 Elementary Functions
1.3 Graphing

Chapter 2: Discrete Time Models, Sequences, and Difference Equations (one week)

2.1 Exponential Growth and Decay
2.2 Sequences
2.3 More Population Models

Chapter 3: Limits and Continuity (two weeks)

3.1 Limits
3.2 Continuity
3.3 Limits at Infinity
3.4 The Sandwich Theorem and Some Trigonometric Limits
3.5 Properties of Continuous Functions
3.6 A Formal Definition of Limits (omit)

Chapter 4: Differentiation (three weeks)

4.1 Formal Definition of the Derivative
4.2 The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials
4.3 The Product and Quotient Rules, and the Derivatives of Rational and Power Functions
4.4 The Chain Rule and Higher Derivatives
4.5 Derivatives of Trigonometric Functions
4.6 Derivatives of Exponential Functions
4.7 Derivatives of Inverse Functions, Logarithmic Functions, and the Inverse Tangent Function
4.8 Linear Approximation and Error Propagation

Chapter 5: Applications of Differentiation (three weeks)

5.1 Extrema and the Mean-Value Theorem
5.2 Monotonicity and Concavity
5.3 Extrema, Inflection Points, and Graphing
5.4 Optimization
5.5 L’Hôpital’s Rule
5.6 Difference Equations: Stability (optional)
5.7 Numerical Methods: The Newton-Raphson Method (optional)
5.8 Antiderivatives

Chapter 6: Integration (two weeks)

6.1 The Definite Integral
6.2 The Fundamental Theorem of Calculus
6.3 Applications of Integration

Chapter 7: Integration Techniques and Computational Methods (one week)

7.1 The Substitution Rule
7.2 Integration by Parts and Practicing Integration
7.3 Rational Functions and Partial Fractions (omit)
7.4 Improper Integrals (omit)
7.5 Numerical Integration (omit)
7.6 The Taylor Approximation (omit)
7.7 Tables of Integrals

Chapter 8: Differential Equations (one week)

8.1 Solving Differential Equations
8.2 Equilibria and Their Stability (omit)
8.3 Systems of Autonomous Equations (omit)

Miscellaneous University/College Policies:

• You are encouraged to take notes and may tape the lectures, but neither your notes nor your tapes are to be sold.
• All unauthorized recordings of class are prohibited. Recordings that accommodate individual student needs must be approved in advance and may be used for personal use during this semester only; redistribution is prohibited.
• Students in need of academic accommodations for a disability may consult with the Office of Students with Disabilities Services (SDS) in SVC 1133 to arrange appropriate accommodations. Students are required to give reasonable notice (typically 5 working days) prior to requesting an accommodation.
• Students who anticipate the necessity of being absent due to the observation of a major religious holiday must provide notice of the date in writing to the instructor by the second class meeting.
• Contingency Course Plan: In the event of an emergency, it may be necessary for USF to suspend normal operations. During this time, USF may opt to continue delivery of instruction through methods that include but are not limited to: Blackboard, Elluminate, Skype, and e-mail messaging and/or alternate scheduling. It is the responsibility of the student to monitor the main USF website, e-mails and MoBull messages for important information about the closure. For information about the continuation of instruction, students are directed to their individual blackboard course sites.
• S-U Policy: Students who want to take this course for a grade of S-U (Satisfactory-Unsatisfactory) must sign the S-U Contract no later than the end of the third week of classes. There will be no exceptions. For further information on S-U grades, please consult the undergraduate catalog. Note: Gordon Rule Math courses cannot be taken for an S-U grade.
• “I” Grade Policy: A grade of “I” indicates incomplete work and will only be assigned when most of the coursework has already been completed with a passing grade. For further information on “I” grades, please consult the undergraduate catalog.

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