COURSE PROFILE: GENERAL EDUCATION COURSES
1.
Course Title: Analytic Geometry and Calculus II
Short Title: Analytic Geom & Calculus II
2.
Course Number: MTH: 220
3.
Course Level: 200-299 Advanced level credit courses
4.
Course Description:
This course is the second part of a three semester sequence of Calculus. Differentiation and integration of
transcendental functions, techniques of integration, improper integrals, parametric equations, polar
coordinates, and infinite and power series are among the topics covered.
5.
Credit Hours: 5.00
6.
Weekly contact hours:
7.
a.
Lecture Hours: 5.00
b.
Lab Hours: 0.00
c.
Studio Hours: 0.00
d.
Activity Hours: 0.00
e.
Clinical Hours: 0.00
f.
Workplace Learning Hours: 0.00
g.
Other Hours: 0.00
Requisites:
Prerequisite: MTH 210 with a grade of "C" or better and
Prerequisite: Reading Proficiency
8.
Course profile acceptance in the general education category:
o
9.
Mathematics
Explain why this course should be considered as a general education course. (See general education
requirements).
Math 220 Calculus II meets the state-level goals and institutional outcomes for the mathematic
knowledge area.Students will develop an understanding and appreciation of how the study of
calculus contributes to the understanding of the world around us as well as its use in the other
sciences. This course emphasizes problem solving and the application of quantitative reasoning
in diverse contexts. Students will develop skills to solve applied problems, to manage and present
information using appropriate quantitative and visual tools.
10. Upon successful completion of the course, the student will know or understand:
0.
derivatives and integrals of the natural logarithmic, exponential, inverse,trigonometric, and
hyperbolic functions and their applications.
1.
techniques of integration, L'Hopital's Rule, and improper integrals.
2.
convergence of infinite series, derivation of power series, and selected applications.
3.
conic sections and rotations.
4.
parametric and polar equations.
11. Upon successful completion of the course, the student will demonstrate the ability to:
0.
graph, differentiate, integrate and use in applications involving growth and decay the logarithmic,
exponential, inverse trigonometric and hyperbolic functions.
1.
find antiderivatives using various techniques such as integration by parts, trigonometric integrals,
trigonometric substitution, partial fraction decompositon and tables.
2.
evaluate indeterminate forms by using L'Hopital's Rule.
3.
evaluate improper integrals.
4.
apply various tests to determine convergence of series.
5.
derive power series and use them in applications.
6.
graph conic sections using standard equations.
7.
graph plane curves using parametric and polar equations.
8.
find area and arc length using polar coordinates.
9.
use appropriate technology to enhance their mathematical thinking and understanding, to solve
mathematical problems and to judge the reasonableness of their results.
10. describe mathematics as a growing discipline, interrelated with human culture and connected to
other disciplines, by learning the historical background of mathematical concepts.
12. Expected knowledge/skills goal reinforcement objectives
Mathematics
C
1, 5, 6, 9
Competency
SLO
A
11
B
1, 2, 5
D
1, 7, 8
Test,
Test, Quiz
Quiz
Social and Behavioral Sciences
C
D
E
3, 5
Test,
Quiz
F
10
Test,
Quiz
G
3, 8, 9
Test,
Quiz
Assessment
Test, Quiz
Test, Quiz
Competency
SLO
Assessment
A
B
E
F
G
Competency
SLO
Assessment
A
B
Life and Physical Sciences
C
D
E
F
Competency
SLO
Assessment
A
B
Humanities and Fine Arts
C
D
E
F
G
Competency
SLO
Assessment
A
B
Interdisciplinary Studies
C
D
E
F
G
Competency
SLO
A
B
Global/Intercultural
C
D
H
I
Mathematics
Assessment
Competency
SLO
A
B
Competency
SLO
Assessment
A
B
5
Test, Quiz
Competency
SLO
A
6
Test, Quiz, Oral
presentation
B
A
B
10
Test, Quiz, Individual project,
Group project
Valuing
C
D
E
F
2
Test,
Quiz
G
D
5, 6
Test,
Quiz
E
F
G
D
E
F
Assessment
Assessment
Competency
SLO
Assessment
Higher Order Thinking
C
Communicating
C
1, 6, 10
Test, Quiz, Individual project,
Group project
Managing Information
C
13. Minimum Requirements:
.
Written tests in class, including a comprehensive final exam.
a.
Homework assignments focusing on the vocabulary and the methods discussed in class.
H
10
Test, Quiz, Individual project,
Group project