Dec 09, 2022
MATH 210 - Calculus I
Credit Hours: 4
Lecture Hours: 4
Laboratory Hours: 0
Prerequisite(s): MATH 150 or equivalent
The goal of this course is for the student to gain an understanding of the two main concepts of calculus - namely, the derivative and the definite integral. These concepts are developed through problem solving in which the Rule of Three (i.e., every topic should be presented geometrically, numerically, and algebraically) is the guiding principle. Technology, specifically a graphing calculator and a Computer Algebra System, is used extensively. Topics studied are functions, the derivative, the definite integral (approximated using a Riemann sum), algebraic differentiation, and applications of the derivative.
Student Learning Outcomes of the Course: General Education SLO’s:
- Students will demonstrate the ability to interpret and draw inferences from mathematical models such as formulas, graphs, tables, and schematics.
- Students will demonstrate the ability to represent mathematical information symbolically, visually, numerically and verbally.
- Students will demonstrate the ability to employ quantitative methods such as, arithmetic, algebra, geometry, or statistics to solve problems.
- Students will demonstrate the ability to estimate and check mathematical results for reasonableness.
- Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.
- Interpret the graphs, tables and formulas that represent functions such as powers, exponentials, logarithms, and trigonometric functions.
- Interpret the derivative - geometrically, as the slope of a curve, and physically, as a rate of change.
- Apply knowledge of the derivative, as a rate of change, to a wide range of applications.
- Interpret the concept of the definite integral as a limit of Riemann sums.
- Make the connection between the derivative and the definite integral in the Fundamental Theorem of Calculus.
- Find the derivative of the common functions including the power, exponential, logarithm, and trigonometric functions, as well as products, quotients, and composite functions.
- Use the derivative in solving problems involving optimization
- Use the graphing calculator and computer algebra system to investigate various aspects of Calculus.