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 2413
Course Title: Calculus I
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 study of functions, limits, the derivatives and differentials of algebraic functions and
transcendental functions with applications; and the definite and indefinite integrals of selected
algebraic forms, trig functions, hyperbolic, exponential, and log functions with applications; and
the study of areas and volumes of solids of revolution.
Prerequisites/Corequisites:
Credit for or registration in Math 1348 or Math 2312 or equivalent.
Text.
Calculus, Third Edition; James Stewart; Brooks/Cole Publishing Company
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 I
(Math2413)
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.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
L.
Find limits for certain polynomial and rational functions.
Differentiate polynomial, algebraic, and rational functions.
Differentiate trig, exponential, log, and hyperbolic functions.
Find antiderivatives of polynomial and algebraic functions, and all the other functions
mentioned above.
Use the derivatives and graphing techniques to find the max and min, relative and
absolute values of these same functions along with their zeroes using Newton’s method.
Evaluate definite integrals.
Know the definitions of:
1.
Limit of a function
2.
A continuous function
3.
The derivative of a function
4.
The antiderivative
5.
The definite integral
6.
One to one functions and inverses of functions
Be able to state and apply from memory:
1.
Rolle’s Theorem
2.
The Mean Value Theorem
3.
The Intermediate Value Theorem
4.
L’Hospital’s Rule
Develop competency in using sigma notation.
Develop the ability to solve problems involving the areas under a curve.
Be able to calculate the area between two curves.
Be able to calculate the work in problems pertaining to dynamics.
Be able to find volumes of solids of revolutions by all of the classical methods.
Be able to solve the customary classical exponential growth and decay problems.
Topical Outline:
Week:
1
2
3
Day
1
2
3
4
5
6
7
8
9
10
11
Sections:
1, 2
3, 4
5, 6, (7)
1.1, 1.2
1.3
1.4, 1.5
1.6
REVIEW 1
>>TEST#1>>
2.1
2.2
Comments:
Most students need a little of this review chapter
Tangent, Volocity, Limit of Function
Limit Laws, Finding Limits
Def. of Limit and Continuity
Tangents, Velocities, Rates of Change
Derivatives (By Definition Only)
Diff. Formulas
4
5
6
7
8
9
10
11
12
13
14
15
16
12
2.3
13
2.4
14
2.5
15
2.6, 2.7
16
2.8
17
2.9
18
2.10
19
REVIEW 2
20
>>TEST#2>>
21
3.1
22
3.2, 3.3
23
3.4
24
3.5
25
3.6
26
3.7
27
3.8
28
3.10(3.9Opt.)
29
REVIEW 3
30
>>TEST#3>>
31
4.1
32
4.2
33
4.3
34
4.4
35
4.5
36
4.6
37
REVIEW 4
38
>>TEST#4>>
39
5.1
40
5.2
41
5.3
42
5.4
43
5.5
44
REVIEW 5
45
>>TEST#5>>
46
6.1
47
6.2
48
6.3
49
6.4
50
6.5
51
6.6
52
6.7
53
6.8
54
REVIEW
55
REVIEW
56
REVIEW
57
REVIEW
58
REVIEW
59
REVIEW
FINAL EXAM
Rates of Change
Derivatives of Trig. Functions
Chain Rule
Implicit Diff., Higher Derivatives
Related Rates
Differentials and Linear Approximations
Newton’s Method
Max and Min Values
Mean Value Theorem, 1st Derivative Test
2nd Der. Test, Concavity, Inflection Pt.S
Limits at Infinity, Horiz. Asymptotes
Curve Sketching
Graphing with Calculus and Calculators
Applied Max-Min Probs
Antiderivatives (Applied to Economics)
Sigma Notation
Area
Definite Integral
Properties of Def. Integral
Fundamental Theorem Calculus
Substitution Rule
Areas Between Curves
Volumes
Vols By Shells
Work
Average Value of Functions
Inverse Functions
Derivatives of Exp. Functs.
Logarithmic Functions
Derivatives of Logarithmic Functions
Exponential Growth and Decay.
Inverse Trigonometric Functions
Hyperbolic Functions
Indeterminate Forms and L’Hospitals’s Rule
Some extra time for topics above can be taken from these review
days.
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 Guidelines:
The college may impose two kinds of disciplinary action on student academic and nonacademic. Five
regulations pertaining to student discipline and the right of student 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