Master Syllabus
(Generic Course Outline)
NOTE: The intention of this master course syllabus is to provide a general outline of the
contents of this course, as specified by the faculty of Wharton County Junior College, regardless
of who teaches the course, when it is taught, or where it is taught. This generic outline is not
intended to restrict the way any individual faculty member teaches the course. The master
syllabus, therefore, should be general enough to allow for a diversity of individual approaches to
teaching the course, while at the same time it provides guidance on what the course should
cover.
Division or Administrative Unit: Math and Science
Course Prefix and Number: Math 2414
Course Title: Calculus II
DIGITAL DESCRIPTIONS
STUDENT DESCRIPTION
PAY-HOUR DESCRIPTION
# Cr Hrs
# Lec Hrs
# Lab Hrs
Lec Hrs + Lab Hrs = Total Pay Hrs
4
4
0
__4__ + [_0__ x ½] = _4___
Catalog Description:
Includes the differentiation of transcendental functions with application, the integration of
algebraic and transcendental functions with applications, approximate integration, indeterminate
forms, and improper integrals.
Prerequisites/Corequisites:
MATH2413
Text.
Calculus, 3rd edition
Course Objectives: See attached
Topical Outline (major areas of coverage): See attached
Site Requirements (classroom & lab space, special equipment or workstations, etc.):
Chalkboard and chalk.
Recommended maximum class size for this course: 30
Prepared by:
Name
Date: ________________________________
Signature
(Additional pages may be appended and the syllabus expanded as needed.)
Master.syl (rev. 7-2-98)
Wharton County Junior College
Math/Science Division
Calculus II
(MATH2414)
Course Objectives:
A.
B.
Purpose: To provide students with the knowledge and skills necessary to solve
problems of the type in the list of topics below:
Detailed list of objectives:
Upon successful completion of this course the students will be able to solve
problems and prove theorems similar to those in the sections listed in the topical
outline below:
And the student will be able to:
A.
Be able to perform integration pertaining to the trigonometric functions.
B.
Solve problems pertaining to the simple harmonic motion.
C.
Perform integration and differentiation.
D.
Exhibit the ability to differentiate and integrate expressions involving the
exponential and logarithmic functions.
E.
Be able to solve problems involving exponential growth and decay.
F.
Demonstrate a sound background in the hyperbolic functions.
G.
Be familiar with the basic methods of integration.
1.
Know the fundamental formulas
2.
Integration by substitution
3.
Trigonometric integrals
4.
Integration involving trigonometric substitutions
5.
Integrals involving quadratics
6.
Be familiar with integration by parts
7.
Partial fractions
8.
Acquire reasonable expertise in the use of miscellaneous substitutions.
H.
Develop reasonable expertise in the solution of sequences and series.
1.
Comparison tests
2.
Ratio and integral tests
3.
Series of functions
4.
Taylor’s series
5.
Differentiation and integration of series
Topical Outline:
Week
1
Days
1;2;3;4
2
5;6;7;8
3
9;10;11;12
Sections
Review sections 6.3,6.4,6.5 (overlap Calc I)
Logarithmic Functions
Derivatives of Logarithmic Functions
Exponential Growth and Decay
6.6, 6.7, 6.8 Review
Inverse Trigonometric Functions
Hyperbolic Functions
Indeterminate Forms and l’Hospital’s Rule
7.1,7.2,7.3
Integration by Parts
Trig Integrals
Trig Substitution
4
13;14;15;16
5
17;18;19;20
6
21;22;23;24
7
25;26;27;28
8
29;30;31;32
9
33;34;35;36
10
37;38;39;40
11
41;42;43;44
12
45;46;47;48
13
49;50;51;52
14
53;54;55;56
15
57;58
Final Examination
7.4,7.5.7.6
Integration by Partial Fractions
Rationalizing Substitutions
Strategy for Integration
7.7,7.8,7.9 Review
Using Tables of Integrals
Approximate Integration
Improper Integrals
Test #1, 8.1,8.2
Differential Equations
Arc Length
8.3,8.4,8.5
Area of a Surface of Revolution
Moments and Center of Mass
Hydrostatic Pressure and Force
8.6,9.1,9.2,9.3
Applications to Economics and Biology
Curves by Parametric Equations
Tangents and Areas
Arc Length and Surface Area
Test #2, 9.4,9.5,9.6
Polar Coordinates
Areas and Lengths in Polar Coords.
Conic Sections
9.7,10.1,10.2,10.3
Conic Sections in Polar Coords.
Sequences
Series
The Integral Test
10.4,10.5,10.6, Test #3
The Comparison Tests
Alternating Series
Absolute Convergence; Ratio & Root Tests
10.7,10.8,10.9,10.10
Strategy for Testing Series
Power Series
Taylor and Maclaurin Series
The Binomial Series
10.11, Test #4, 11.1, 11.2
Approximately by Taylor Polynomials
Three-Dimensional Coordinate Systems
Vectors
11.3,11.4,11.5,11.6
The Dot Product
The Cross Product
Equations of Lines & Planes
Quadratic Surfaces
11.7,11.9
Vector Functions and Space Curves
Motion in Space: Velocity and Acceleration
Evaluation:
Unit tests, class participation, and final examination
Semester grade:
Final Examination
20-25%
Remainder of work 75-80%
or grading as specified by the instructor.
Disciplinary Action and Guidelines:
The college may impose two kinds of disciplinary action on students: academic and
nonacademic. Five regulations pertaining to student discipline and the right of students to
appeal decisions or file complaints were promulgated on April 19, 1995. Four regulations
pertain to nonacademic actions and one pertains to academic actions.
Academic:
Reg 663, Appeal of Academic Decisions
Nonacademic:
Reg 591, Student Grievances & Complaints
Reg 592, Student Disciplinary Action
Reg 664, Appeal of Student Disciplinary Action
Reg 665, Disciplinary Hearings