MTHM 171 COLLEGE ALGEBRA
Lorain County Community College
Instructor: Ms. Renee Mahoney
E-mail: [email protected] or [email protected]
Course Description: Study of algebraic functions, equations, systems of equations, inequalities, matrices, partial fractions, exponential and logarithmic functions. Designed primarily for the calculus-bound student. Not to be taken if credit for MTHM 175 has been earned. Graphing calculator required. Mathematics Core Course. Prerequisite: Course placement policy: Grade of C or higher in MTHM 081 or satisfactory placement assessment in mathematics. This is a 4 credit hour course.
Course Outcomes:
1. Represent polynomial, rational, root, exponential, logarithmic, and piece-wise defined functions verbally, numerically, graphically, and algebraically.
2. View a function as a set of ordered pairs or a correspondence between two sets.
3. Find the domain and range of functions.
4. Perform operations (addition, subtraction, multiplication, division, composition) with functions.
5. Perform translations and dilations of functions.
6. Use functions to model a variety of situations.
7. Solve equations, including application problems.
8. Solve systems of linear equations, including application problems.
9. Solve nonlinear inequalities.
10. Apply the factor theorem, the remainder theorem, and the rational roots theorem, including application problems.
11. Find inverses of functions and relate the graph of a function to the graph of its inverse.
12. Analyze the graph of a function to answer questions about the function (such as intercepts, domain, range, intervals where the function is increasing or decreasing, possible algebraic definitions, etc.)
13. Gain confidence in his/her critical-thinking and problem-solving skills.
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MTHM 172 PRECALCULUS
Lorain County Community College
Instructor: Ms. Renee Mahoney
E-mail: [email protected] or [email protected]
Course Description: For the calculus-bound student. A study of trigonometric functions and their graphs; trigonometric identities and equations; conic sections; polar and parametric equations; mathematical induction; and the binomial theorem. Not to be taken if credit for MTHM 175 has been earned. Graphing calculator required. Mathematics core course. (C2, IN1) Prerequisites: MTHM 171 or 3 1/2 years high school college-preparatory mathematics and a satisfactory placement assessment score or division approval.
This is a 3 credit hour class.
Course Outcomes:
Definitions of trigonometric functions, using both triangles and the unit circle
Right triangle applications
Sine and cosine laws
Graphs of trigonometric functions
Trigonometric identities
Inverse trigonometric functions
Trigonometric equations
Trigonometric form of complex numbers
Vectors in the plane and applications
Conic sections
Polar graphing
Parametric equations
Mathematical induction
The Binomial Theorem