MTH 1108 Basic Calculus 2: Syllabus

Review of Differential calculus, extension to trig functions.
Introduce the basic ideas of integral calculus: finding amount from rate (example: find the amount of water that has flowed over a dam, when the function giving the rate of flow is known).
Develop your ability to apply these to problems of averaging, area, volume, the relation between flow and amount, and to motion.
Present several differential equations applicable to cooling/warming (Newton's Law of Cooling), and population growth (Logistic equation).
Be able to apply these equations to problems of exponential growth and decay (review), diffusion through membranes, and to buildup of drugs in the body.
Introduce the concept of mathematical model, and discuss the appropriateness of the models used to the problems modelled: what are the assumptions underlying the use of a given mathematical model? (handout).

These are the basic homework assignments, your instructor may add to or change these.
Also, several worksheets will be passed out in class.

Review of differential calculus, and antiderivative	Chapter 1
Functions p. 1-8, #3-17	§ 1.1
Derivative as operator p. 1-16, #3-19, 23-35, 43-47,55,59,67-75,81-83.	§ 1.2
Meaning of the derivative p. 1-27, #1-19,20,23-29,33-41,40.	§ 1.3
The antiderivative p. 1-39, #1-9,23-35,41,43.	§ 1.4
Review Exercises p. 1-42.
The integral	Chapter 2
Integral as area and sums p. 2-14, #1,2a.	§ 2.1
The fundamental theorem: integral and antiderivative p. 2-21, #31-19,25-39 all.	§ 2.2
Properties of the integral p. 2-35, #1-23,29,31,32.	§ 2.3
Applications: average value, volume p. 2-48, #1,3,8,9-21,23-26 all, 30.	§ 2.4
Applications: Amount from Flow Handout Worksheet on Flow/Amount.
Review Exercises p. 2-51.
Trigonometric functions	Chapter 3
What are they? p. 3-20, #1-7,11,21,25,35-55,58,59-71.	§ 3.1
Calculus of trig. functions p. 3-31, #3-23 odd,2,6,16,22.	§ 3.2
Inverse trig functions p. 3-37, #3-33 odd,24,32.	§ 3.3
Review Exercises p. 3-39.
Techniques of Integration	Chapter 4
Substitution p. 4-10, #1-17,21,22,25,27,31,34,36.	§ 4.1
Use of tables of integrals p. 4-17, #7-23,27,31,33.	§ 4.2
Review Exercises p. 4-40, #1-4 only.
Differential Equations	Chapter 5
Basic Concepts p. 5-10, #1-17,21-23.	§ 5.1
Separation of variables p. 5-21, #1-5,13-19,25-31.	§ 5.2
Applications: mathematical models for growth, diffusion of chemical through membranes, drug absorption, spread of infectious disease, p. 5-50, #1-17,18,21,22.	§ 5.3
Review Exercises p. 5-55.

Return to Math 1108 homepage

Prof. Suciu's Spring 99 Math 1108 page (contains sample quizzes, exams, relevent especially for non-graphing calculator sections -- those using the Gover text).

Syllabus for Math 1108 Graphing Calculator Section ( Prof. A. Iarrobino)

Created: December 30, 1999, by A. Iarrobino. Last modified: March 29, 2000. URL:http://www.math.neu.edu/~iarrobino/math1108syllabus