COURSE SYLLABUS
Ohio Northern University
College of Arts and Sciences
Department of Mathematics and Statistics
Date: Fall 2013
Course Math 1641
Name: 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, Engineering, Physics, Chemistry
Course frequency per semester/year: Offered yearly; fall and spring semesters
Average enrollment per year: 150
This course has a prerequisite:
Math 1621 Calculus with Pre-Calculus 2, or
Math 1631 Calculus 1
This course is a prerequisite for:
Math 2631 Calculus 3
Catalogue Description:
Inverse functions, logarithmic, exponential, inverse trig., hyperbolic and Inverse hyperbolic functions;
continued development of integration techniques; sequences and series; Taylor series; parametric
curves; polar coordinates; conic sections.
Course Objectives:
To give students the necessary tools, concepts and methods to work in engineering, science and
mathematics.
Textbook: Calculus, 7th Edition, by J. Stewart
A graphing calculator is required too.
Outline of content follows:
(see attached)
Course Outline
MATH – 1641 on Stewart 7th edition
Calculus 2
Section
Topic
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
6.6
Inverse trigonometric functions
6.7
Hyperbolic functions
6.8
Indeterminate forms and L’Hospital’s Rule
Technique of Integration
7.1
Integration by parts
7.2
Trigonometric integrals
7.3
Trigonometric substitution (selected topics)
7.4
Partial Fractions
7.5
Strategy for integration (Review)
7.6
Using tables and computer algebra systems (optional)
(Can be integrated in previous sections.)
7.8
Improper integrals
Infinite Sequences and Series
11.1
Sequences
11.2
Series
11.3
The integral test and estimates of sums
11.4
The comparison tests
11.5
Alternating series
11.6
Absolute convergence & the ratio & root tests
11.7
Strategy for testing series (review)
11.8
Power series
11.9
Representation of functions as power series
11.10
Taylor and Maclaurin series
11.11
Applications of Taylor polynomials
Parametric Equations and Polar Coordinates
10.1
Curves defined by parametric equations
10.2
Calculus with parametric curves
(omit surface area)
10.3
Polar coordinates
10.4
Areas and length in polar coordinates
10.6
Conic sections in polar coordinates (optional)
Appendix H
Complex numbers
Days
2
2
2
2
3
2
2
2
1
1
2
1
2
2
2
1
1
1
2
1
1
2
4
1
2
2
2
1
1
2
This is a total of about 52 hours and about 8 hours are left for testing and reviews.