U152: Calculus and Differential Equations
for Biology and Life Sciences

This is an application of exact differentials that we did in class. Basically it's the fundamental theorem of calculus, but for two dimensions.

This is a good Green's Theorem Example

Here are the answers to the review that was posted

Problems from the Book (sections will be announced in class or assigned below).

Select questions from last year's final

Date

Section

Problems

4/9

Here are problems for quiz 7

Quiz 7 Practice

4/7

Here are a few corrections to the questions

Answer for 2: -2.13; On problem 5, let t=[0, 2 &pi]

4/7

Practice for Quiz

Quiz topics and problems

4/5

Green's Theorem

Green's Theorem Worksheet

4/1

Double Integrals

Chapter 7.6: 1, 3, 5, 7, 14 (draw a picture)

3/31

Line Integrals

Problems at the end

3/27

Systems of linear differential equations

Solve the problems at the end of this packet

3/24

Directional Derivative and Gradient

Directional Derivatives , Gradients

3/18

Extra Quiz Problems

Try these, answers should follow

3/18

Quiz review

Worksheet with some problems

3/17

Lagrange

Section 7.4 Problems

3/13

Multidimensional Calculus

Book problems for sections 7.1, 7.2, 7.3

2/25

Quiz Practice Questions with Answers

QUIZ THURSDAY

2/21

Eigenvalues (mostly just read over it and try what we did in class)

Try 1a and 1c

2/20

Determinants

Try 1, 3a, 3d

2/14

Systems with many solutions

Try 2, 3, 4a, 4b, 4d

2/11

Gaussian Elimination

Try Numbers 1a, 1c, 4, 5, 6

2/7

Matrices

Try the problems in this attachment

2/4-2/6

10.2

1-5, 9 13, 15, 19, 21,25, 29,32,35,37,38,39,40

Wk of 1/29

Partial Fractions

Worksheet

1/29

9.6

1-17,21-25,31-35,39,41,45

Some useful documents are found here:
  • The Syllabus
  • Problems for chapter 6 sections will be assigned in class.
  • Simple antiderivative rules