Calculus for Biological Scientists I
Math 155      Fall 2010

Colorado State University

  

 August 2010

Mon

Tues Wed Thurs Fri

23

1.1, 1.2
Biology and Dynamics

Link

24

1.2
Variables, Parameters and Functions in Biology

25

1.3
Units and Dimensions of Measurements and Functions 

26
27

1.4
Linear Functions and Their Graphs

30

1.5
Discrete-Time Dynamical Systems

 

31

Problems

Quiz 1
Reading 1

 


 

 

 September 2010 
Mon  Tues Wed Thurs Fri
  

1

1.6
Analysis of Discrete-Time Dynamical Systems

2

3

1.7
Expressing Solutions with Exponential Functions

Homework 1 due

6

Labor Day

7

Problems

Quiz 2
Reading 2

8

1.8
Oscillations and Trigonometry

9

10

1.9
A Model of Gas Exchange in the Lung

Homework 2 due

13

1.10
An Example of Nonlinear Dynamics

14

Problems

Quiz 3
Reading 3

15

1.11
Excitable Systems I: The Heart

16

17

1.11
Excitable Systems I: The Heart

Homework 3 due

20

2.1
Introduction to Derivatives

21

Problems

Quiz 4
Reading 4

22

2.2
Limits

23

24

2.3
Continuity

Homework 4 due

27

2.4
Computing Derivatives: Linear and Quadratic Functions
28

Problems

Quiz 5
Reading 5

29

Exam 1 Review

30

Exam 1



 October 2010
Mon Tues Wed Thurs Fri
    

1
2.5
Derivatives of Sums, Powers, and Polynomials

4

2.6
Derivatives of Products and Quotients

5

Problems

Quiz 6
Reading 6

6

2.7
The Second Derivative, Curvature, and Acceleration

7

8

2.8
Derivatives of Exponential and Logarithmic Functions

Homework 5 due

11

2.9
The Chain Rule
12

Problems

Quiz 7
Reading 7

13

2.10
Derivatives of Trigonometric Functions
14

15

3.1
Stability and the Derivative

Homework 6 due

18

3.2
More Complicated Dynamics

END OF COURSE
WITHDRAWAL PERIOD
 

19

Problems

Quiz 8
Reading 8

20

3.2
More Complicated Dynamics
21

22

3.3
Maximization

Homework 7 due

25

3.3
Maximization
26

Problems

Quiz 9
Reading 9

27

3.5
Limits at Infinity

28

29

3.6
Leading Behavior and L'Hopital's Rule 

Homework 8 due

 November 2010 
Mon Tues Wed Thurs Fri
1
3.6
Leading Behavior and L'Hopital's Rule
2

Problems

Quiz 10

3

Exam 2 Review

4

Exam 2

5

No Classes.
8

3.7
Approximating Functions with Lines and Polynomials
9
 
Problems

10

3.8
Newton's Method

11

12

4.1
Differential Equations

Homework 9 due

15

4.1
Differential Equations

16

Problems

Quiz 11
Reading 11

17

4.2
Solving Pure-Time Differential Equations

18

19

4.3
Integration of Special Functions and Integration by Substitution

Homework 10 due

22-26  Fall Break Week
   
29

4.3
Integration by Parts

30

Problems

Quiz 12
Reading 12

   
 December 2010    
Mon Tues Wed Thurs Fri
  

1

4.4
Integrals and sums

2

3

4.5
Definite and Indefinite Integrals

Homework 11 due

6

4.5
Definite and Indefinite Integrals

Applications of Differential Equations:Kinetic Equations

7

Problems

Quiz 13
Reading 13

8

4.6
Applications of Integrals

9

10

Review

  

15

Final Exam
5:50-7:50