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:

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.