MTH 173174 Syllabus
Division: Arts and Sciences Date: February 2014
Curricula in Which the Course is Taught:
Science, Engineering, Liberal Arts
Course Number and Title:
MTH173174 Calculus III
Credit Hours:
5 Hours/Wk
Lecture: 5 Hours/Wk Lab:
0 Lec/Lab Comb: 5
I.
Catalog Description:
A two semester calculus class teaches fundamental principles of
differential and integral calculus of single variable algebraic and
transcendental functions. Designed primarily for mathematics, science and
engineering majors. Topics include limits, derivatives, derivative rules and
their applications, definite and indefinite integrals, method of integration
and their applications, linear differential equations, calculus of parametric
equations, sequences and series and, vector geometry and vector functions.
II.
Relationship of the Course to
Curricula Objectives in which course is taught:
This is a transfer level mathematics course that helps develop
fundamental understanding of the differential and integral calculus and their
applications.
III.
Required Background: MTH 163, MTH 166 or equivalent
IV.
Course Content:
1.
Limits
and its application
2.
Continuity
of a function
3.
Derivative
of a function
4.
Derivative
rules
5.
Higher
order derivatives
6.
Maxima
and minima and meanvalue theorem
7.
Graph
sketching using derivatives
8.
Application
of derivatives in physical science and social sciences
9.
Antiderivative and integration
10. Definite and indefinite integrals
11. Fundamental theorems of calculus
12. Method of Substitution
13. Area and volumes
14. Log and exponential functions
15. Basic differential equations
16. Integration methods
17. Arc length and surface area
18. Parametric equations
19. Sequences and Series
20. Vectors and vector geometry
21. Vector functions
V. Learner
Outcomes: 
VI. Evaluation 

Students will
be able to 
Students
will be evaluated based upon their performance in the classroom discussions,
homework, tests, quizzes and other assignments as deemed necessary by the
faculty. 

A. 
To
demonstrate a qualitative understanding of fundamental principles of
differential and integral calculus and vector geometry 

B. 
To
demonstrate problem solving skills using the fundamental principles of
calculus 

C. 
To
demonstrate ability to apply the concepts of calculus to problems in physical
science and engineering 
VII. This course supports the
following objectives:
DCC Objectives:
Critical
Thinking
Quantitative
Reasoning
Scientific
Reasoning