Course objectives:
1.
Sketch graphs and appropriate transformations for the following: polynomial functions (linear, quadratic, followed by those with degree three and higher), trigonometric functions, exponential and logarithmic functions, rational functions, and conic sections.
2.
Solve applied problems using the appropriate function.
3.
Be able to use function notation to evaluate expressions and perform operations on functions such as addition, subtraction, multiplication, division, and composition of functions. Be able to find the domain of functions.
4.
Find the inverse of one-to-one functions.
5.
Solve systems of equations, both linear and non-linear.
6.
Work introductory exercises using polar coordinates, parametric functions, and vectors.
7.
Work introductory exercises from topics in discrete mathematics, such as sequences and series.
8.
Solve equations containing trigonometric functions both in routine exercises and applied problems.
Appropriate use of technology will be encouraged throughout the course.
2412 Learning Outcomes : Upon successful completion of the course, students should be able to:
1.
Identify and manipulate polynomial, power, rational, exponential, logarithmic, and trigonometric functions.
2.
Represent a given polynomial, power, rational, exponential, logarithmic,and trigonometric function numerically, symbolically, graphically, and verbally. Select the appropriate function in applied problems.
3.
Understand and perform addition, subtraction, multiplication, division, and composition of functions. Perform these operations algebraically, numerically, graphically, and in applied settings.
4.
Understand the abstract concepts of function inverses and one-to-one functions. Find inverse functions using algebraic, numerical, graphical, and verbal techniques. Solve problems involving the inverses of (restricted) polynomial, power, rational, exponential, and trigonometric functions.
Use appropriate inverse functions in applications.
5.
Work basic exercises using polar coordinates, parametric functions, vectors, sequences, and series.
6.
Solve equations containing trigonometric functions in routine and applied problems.