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Mathematics & Statistics

# 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 670 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 two 75-minute auditorium lectures per week and one 50-minute help session; evening sections have two 75-minute lectures per week. Successful completion of the course merits 3 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.

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: Biocalculus: Calculus, Probability, and Statistics for the Life Sciences, by Stewart and Day

Course Content

Chapter 1. Functions and Sequences (two weeks)
1.1 Four Ways to Represent a Function
1.2 A Catalog of Essential Functions
1.3 New Functions from Old Functions
1.4 Exponential Functions
1.5 Logarithms; Semi-log and Log-log Plots
1.6 Sequences and Difference Equations

Chapter 2. Limits (two weeks)
2.1 Limits of Sequences
2.2 Limits of Functions at Infinity
2.3 Limits of Functions at Finite Numbers
2.4 Limits: Algebraic Methods
2.5 Continuity

Chapter 3. Derivatives (four weeks)
3.1 Derivatives and Rates of Change
3.2 The Derivative as a Function
3.3 Basic Differentiation Formulas
3.4 The Product and Quotient Rules
3.5 The Chain Rule
3.6 Exponential Growth and Decay
3.7 Derivatives of the Logarithmic and Inverse Tangent Functions
3.8 Linear Approximations and Taylor Polynomials

Chapter 4. Applications of Derivatives (three weeks)
4.1 Maximum and Minimum Values
4.2 How Derivatives Affect the Shape of a Graph
4.3 L’Hospital’s Rule: Comparing Rates of Growth
4.4 Optimization
4.5 Recursions: Equilibria and Stability
4.6 Antiderivatives

Chapter 5. Integrals (two weeks)
5.1 Areas, Distances, and Pathogenesis
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
5.4 The Substitution Rule (if time permits)
5.5 Integration by Parts (if time permits)
5.6 Partial Fractions (omit)
5.7 Integration Using Tables and Computer Algebra Systems (omit)
5.8 Improper Integrals (omit)