COURSE SYLLABUS
Ohio Northern University
College of Arts and Sciences
Department of Mathematics and Statistics
Date: Fall 2011
Course Math 1621
Name: Calculus with Pre-Calculus 2
Credit hours: 4
Lecture hours/week: 4
Lab hours/week: 0
Instructor: Staff
Usual Student Level: Freshman
Course required of students in: Mathematics, Computer Science, Engineering, Physics, Chemistry
Course frequency per semester/year: offered yearly; spring semester
Average enrollment per year: 50
This course has a prerequisite:
Math 1611
This course is a prerequisite for:
Math 1641
Catalogue Description:
Continued development of differentiation techniques, extrema, Mean Value Theorem, curve plotting,
other applications of the derivative, continued development of integration techniques and their
applications, and the calculus of exponentials and logarithms
Course Objectives:
To give students the necessary tools, concepts, and methods to work in engineering, science and
mathematics.
Textbook: Calculus, 7th ed., by J. Stewart
Outline of content follows:
(see attached)
Course Outline
MATH-1621
Calculus with Pre-Calculus 2
Section
Topic
Days
Derivatives
Review of 2.1-2.4
2.5
The Chain rule
2.6
Implicit differentiation
2.7
Rates of change
2.8
Related rates
2.9
Differentials (linear approx. is optional)
12
Applications of Differentiation
3.1
Maximal and minimal values
3.2
The Mean Value Theorem
3.3
How derivatives affect the shape of a graph
3.4
Limits at infinity; horizontal asymptotes
3.5
Summary of curve sketching
3.7
Optimization problems
3.8
Newton’s Method
14
Integrals
Review of 4.1-4.3
4.4
Indefinite Integrals
4.5
The substitution rule
8
Applications of Integration
8
5.1
Areas between curves
5.2
Volume
***
Other applications from Chapters 5 and 8
(More Volumes, Work, Applications to physics and engineering)
Inverse Functions
6.1
Inverse functions
6.2*
The Natural Logarithmic Function
6.3*
The Natural Exponential Function
6.4*
General Log and Exp functions
This is a total of 50 days which leaves 10 days for testing and review.
8