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Mathematics 116

Calculus II for the Life Sciences

Length of Course: One Semester (14 weeks)

Classroom Hours per Week: 4 hours 

Number of Credits: 3 credits

Prerequisite: Mathematics 115 or Math 113 with a minimum of C- or Math 111 with a minumum of A-.

Corequisite: none.


Course Description

This course is designed for students majoring in the Life Sciences. The emphasis is on examples and applications of Integration, Probability, and Differential Equations in Zoology, Botany, Biochemistry, Microbiology, Genetics, Paleontology, Marine Biology and Ecology.


Course Outline

Length Description

Week 1

Integrals and Applications

  • Antiderivatives 
  • Definite Integral and Area
  • Definite and Indefinite Integrals

Week 2

Integrals and Applications

  • Tehcniques of Integration: Substirution and Intergration by Parts
  • Applications

Week 3

Integrals and Applications

  • More on Applications
  • Imporper Integrals

Week 4

Discrete Probability

  • Simple Experiments
  • Examples of Experimental Data
  • Mean and Variance of a Probability Distribution

Week 5

Discrete Probability

  • Bernoulli Trials
  • Hardy-Weinberg Genetics

Week 6

Continuous Probability Distribution

  • Density Function
  • Mean and Median

Week 7

Continuous Probability Disctribution

  • Applications (Radioactive decay, Age dependent mortality, Raindrop size distribution)
  • Moments of Probability density

Week 8

Differential Equations

  • Basic Models with Differential Equations
  • Terminal Velocity and Steady States

Week 9

Differential Equations

  • Some applications: Blood Alcohol and Chemical Kinetics
  • Separable Differential Equations

Week 10

Differential Equations

  • Density Dependent Growth (The Logisitics Equation)
  • Gompertz Model

Week 11

Infinite Series

  • Convergence and Divergence of Series
  • Geometric, Harmonic, and Power Series

Week 12

Infinite Series

  • Taylor Polynomials
  • Tarlor Series and its applications

Week 13

Review

Week 14

Final Exam 

Textbook

Calculus for the Life Sciences: Modelling the Dynamics of Life (Canadian edition) by Adler & Lovric

Integral Calculus with Applications to the Life Sciences by Leah Edelstein-Keshet


Course Evaluation

Quizzes and Homework 10-20%
Midterm Exams 20-40%
Final Examination 40-50%

Transferability

Please refer to BC Transfer Guide


Instructors

Arman Ahmadieh B.Sc., M.Sc. (Sharif University of Technology)
Hayri Ardal, B.Sc.(Bogazici), Ph.D. (Simon Fraser)
Kim Peu Chew, B.Sc. (Nanjing), M.A., Ph.D. (British Columbia)
Ana Culibrk, B.Sc., M.Sc. (Belgrade), M.Sc. (British Columbia)
Rika Dong, B.Sc. (Simon Fraser), M.Sc. (Regina)
Sam Ekambaram, B.Sc., M.Sc. (Madras), M.Sc., Ph.D. (Simon Fraser)
Himadri Ganguli, B.Sc., M.Sc. (Chennai), Ph.D. (Simon Fraser)
Peter Hurthig, B.Sc., M.Sc. (British Columbia)
Kamyar Moshksar, B.Sc.(Shiraz), M.Sc. (Waterloo), PhD (Waterloo)