Department of Mathematics Syllabus

This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.

MAT 17C: Calculus for Biology and Medicine
Approved: 2010-09-17, Tim Lewis

ATTENTION:

This course is part of the inclusive access program, in which your textbook and other course resources will be made available online. Please consult your instructor on the FIRST DAY of instruction.

Suggested Textbook: (actual textbook varies by instructor; check your instructor)
Neuhauser’s “Calculus for biology and Medicine” 3rd Edition.
Search by ISBN on Amazon: 9780321644688

Prerequisites:

MAT 17B with C- or above

Suggested Schedule:

Lecture(s)

Sections

Comments/Topics

1-2

10.1-2

Functions of two/several variables; Limits, continuity – briefly

3

10.3

Partial derivatives

4

10.4

Tangent planes and linearization; Differentiability (briefly)

5

10.5

Chain rule (include discussion about parameterize curves); Optional: Implicit differentiation

6

10.5

Directional derivatives and gradient vector

7-8

10.6

Maxima and minima (local and global); Applications

9


Optional: Optimization with constraints (10.6.2) and/or Diffusion equation (10.6.3)

10-11

online notes

Double integrals and applications

12-15

11.1-2

Linear systems of ODEs: Theory, modeling and examples

16-19

11.3-4 + online notes

Nonlinear systems of ODEs: Theory, modeling and examples

20


Optional: Systems of difference equations (10.7)

21-22

12.1

Counting: Permutations and combinations; Biological examples.

23

12.2

Basic probability: definitions and examples

24

12.3

Conditional probability; Law of total probability

25

12.3

Independence; Bayes Formula; Applications in biology.

26-27


Optional: More complicated problems using Bayes formula and conditional probability or distributions of discrete random variables (12.4)

Additional Notes:

This course covers Chapters 10 – 12: Functions of two or more variables; Double integrals; Systems of differential equations; Discrete Probability; Applications in biology

Lectures 9, 20, and 26-27 can be used as buffers for the required material or to cover optional material: Optimization with constraints (10.6.2); Diffusion equation (10.6.3); Systems of difference equations (10.7); Distributions of discrete random variables (12.4).

Note: Covering the optional material in 12.4 (mean and variance; binomial, geometric and Poisson distributions) would work best if covered in two lectures.