MAC 2242 — Life Sciences Calculus II — Syllabus
Prerequisites: C (2.0) or better in MAC 2241, or C (2.0) or better in MAC 2281, or C (2.0) or better in MAC 2311.
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 110-minute lectures per week. Successful completion of the course merits 4 semester hours of credit. The schedule outlined below allows time for three midterm exams plus a cumulative final exam, which are the norms for this course. Students in this course are encouraged to submit projects that explore mathematical topics in the sciences.
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 6: Integration (one week)
6.1 The Definite Integral
6.2 The Fundamental Theorem of Calculus
6.3 Applications of Integration
Chapter 7: Integration Techniques and Computational Methods (three weeks)
7.1 The Substitution Rule
7.2 Integration by Parts and Practicing Integration
7.3 Rational Functions and Partial Fractions
7.4 Improper Integrals
7.5 Numerical Integration (optional)
7.6 The Taylor Approximation
7.7 Tables of Integrals
Chapter 8: Differential Equations (two weeks)
8.1 Solving Differential Equations
8.2 Equilibria and Their Stability
8.3 Systems of Autonomous Equations
Chapter 9: Linear Algebra and Analytic Geometry (two weeks)
9.1 Linear Systems
9.2 Matrices
9.3 Linear Maps, Eigenvectors, and Eigenvalues
9.4 Analytic Geometry
Chapter 10: Multivariable Calculus (three weeks)
10.1 Functions of Two or More Independent Variables
10.2 Limits and Continuity
10.3 Partial Derivatives
10.4 Tangent Planes, Differentiability, and Linearization
10.5 More about Derivatives
10.6 Applications
10.7 Systems of Difference Equations (optional)
Chapter 11: Systems of Differential Equations (omit)
11.1 Linear Systems: Theory
11.2 Linear Systems: Applications
11.3 Nonlinear Autonomous Systems: Theory
11.4 Nonlinear Systems: Applications
Chapter 12: Probability and Statistics (two weeks)
12.1 Counting
12.2 What is Probability?
12.3 Conditional Probability and Independence
12.4 Discrete Random Variables and Discrete Distributions
12.5 Continuous Distributions
12.6 Limit Theorems
12.7 Statistical Tools
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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