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 17B: 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.

Units/Lecture:

4

Suggested Textbook: (actual textbook varies by instructor; check your instructor)
Neuhauser’s “Calculus for Biology and Medicine” 3rd Edition ($119.00)
Search by ISBN on Amazon: 9780321644688

Prerequisites:

MAT ( 16A, 17A, or 21A) with C- or above

Suggested Schedule:

Lecture(s)

Sections

Comments/Topics

1

5.8-6.1

Antiderivative (and solutions of initial value ODE problems); Definite Integral

2

6.1

Definite Integral / Examples

3

6.2

Fundamental Theorem of Calculus

4-5

6.3

Geometric application of integrals (heavy emphasis on examples).

6

7.1

Substitution rule

7

7.2

Integration by parts

8

7.3

Partial Fractions

9

7.4

Improper integrals

10

7.5

Numerical integration; Mention tables of integrals (7.7) and software packages/online tools

11

7.6

Taylor approximation;(Optional: accuracy of Taylor approximations)

12

8.1

Solving first order differential equations

13

8.2

Equilibria and stability

14

online notes

Biological models: examples of first order differential equations

15

online notes

Solving first-order linear non-autonomous differential equations using integrating factors.

16

online notes

or

8.3

Optional: Numerical methods for first order ODEs -Forward Euler method

or

Systems of autonomous ODEs

17

9.1

Solving linear systems of equations (stress main concepts)

18-19

9.2

Matrices

20-22

9.3

Eigenvalues and eigenvectors; Examples (optional: Leslie matrices 9.2.5 and 9.3.3)

23-24

9.4

Analytical geometry

25-27

Use remaining lectures as buffer for material above or to cover optional material

Additional Notes:

This course covers Chapters 6 – 9: Integration, Applications of integrals in biology; differential equations and their applications in biology; Linear algebra; Elements of analytical geometry.