Course Profile: General Education Courses

COURSE PROFILE: GENERAL EDUCATION COURSES

1.  Course Title: Analytic Geometry and Calculus I
Short Title: Analytic Geom & Calculus I

2.  Course Number: MTH: 210

3.  Course Level: 200-299 Advanced level credit courses

4.  Course Description:

Topics included are limits and continuity of functions of a single variable, derivatives and antiderivatives of algebraic functions and trigonometric functions, and applications.

5.  Credit Hours: 5.00

6.  Weekly contact hours:

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

7.  Requisites:

Prerequisite: MTH160 or
Prerequisite: MTH 160A or
Prerequisite: MTH 160B or
Prerequisite: MTH 160 and
Prerequisite: MTH 170 with a minimum grade of C or better or
Prerequisite: MTH 185 with a minimum grade of C or better or
Prerequisite: satisfactory score on placement test and
Prerequisite: Reading Proficiency

8.  Course profile acceptance in the general education category:

9.  Explain why this course should be considered as a general education course. (See general education requirements).

None listed.

10.  Upon successful completion of the course, the student will know or understand:

1.  limits

2.  continuity

3.  derivatives of algebraic and trigonometric functions

4.  applications of the derivative

5.  integrals

6.  applications of integration

7.  connections between mathematical methods

8.  relationships between mathematics and other disciplines

9.  appropriate use of technology

11.  Upon successful completion of the course, the student will demonstrate the ability to:

1.  Students will use the definition to compute limits. Students will use the properties of limits to evaluate finite, infinite, and one-sided limits.MATH-B

2.  Students will use the definition of a continuous function to recognize and graph continuous and discontinuous functions.MATH-B,E

3.  Students will find derivatives of algebraic and trigonometric functions using the basic differentiation rules, the product and quotient rules, and the chain rule. Students will find derivatives using implicit differentiation. MATH-B,E

4.  Students will use real data to develop models of real world applications and solve word problems involving related rates, optimization and differentials, making estimates, predictions, and making informed estimates. Student will apply the first and second derivative tests to curve sketching. MATH-B,C

5.  Students will find antiderivatives, compute definite integrals, and apply several integration techniques including integration by substitution. MATH-B,E

6.  Students will use the definite integral to calculate areas, volumes, arc length, and work. MATH-B

7.  Students will demonstrate understanding of the connections between methods in mathematics by using several techniques: verbal, numerical, graphical, and symbolic. MATH-D,G

8.  By learning the historical background of mathematical concepts, students will develop the view that mathematics is a growing discipline, interrelated with human culture and connected to other disciplines. MATH-A

9.  Students will use appropriate technology to enhance their mathematical thinking and understanding, to solve mathematical problems, and to judge the reasonableness of their results. MATH-F

o  Note: As shown above, this course meets all competencies in Mathematics area as follows:

1.  Describe how mathematics contributes and shapes our civilization and culture, and recognize its connections to other disciplines. 8:h

2.  Represent mathematical information graphically, symbolically, numerically, and verbally with clarity, accuracy, and precision. 8:a-f

3.  Model situations with real-world data and analyze the models (e.g. algebraic, geometric and statistical) to make estimations, predictions and informed decisions. 8:d

4.  Solve nonlinear equations algebraically, graphically and numerically. 8:g

5.  Formulate and use generalizations based upon pattern recognition. 8:b,c,e

6.  Use technology as an aid to understanding and as a tool in the solution of problems.8:i

7.  Recognize and use the connections within mathematics (e.g., geometry can be used to analyze a problem that will be solved using algebra). 8:g

12.  Expected knowledge/skills goal reinforcement objectives

Mathematics /
Competency / A / B / C / D / E / F / G
SLO
Assessment
Social and Behavioral Sciences
Competency / A / B / C / D / E / F / G / H / I / J
SLO
Assessment
Life and Physical Sciences
Competency / A / B / C / D / E / F
SLO
Assessment
Humanities and Fine Arts
Competency / A / B / C / D / E / F / G
SLO
Assessment
Interdisciplinary Studies
Competency / A / B / C / D / E / F / G
SLO
Assessment
Global/Intercultural
Competency / A / B / C / D
SLO
Assessment
Valuing
Competency / A / B / C / D / E / F / G
SLO
Assessment
Higher Order Thinking
Competency / A / B / C
SLO
Assessment
Communicating
Competency / A / B / C / D / E / F / G / H
SLO
Assessment
Managing Information
Competency / A / B / C / D / E / F
SLO
Assessment

13.  Minimum Requirements:

a.  Testing: Students will complete written tests in class including a comprehensive final exam.

b.  Writing Requirements: Writing assignments beyond what is required for the tests are encouraged but not required.

c.  Other (please specify): Homework is assigned so the student may practice using the vocabulary and the methods discussed in class. This practice is directly related to test performance and in that sense is a course requirement.