Jun 06, 2023
MATH 1350 - Survey of Calculus
Presents a survey of basic concepts of calculus. For students who want an introduction to calculus, but do not need the depth of 2301 and 2301. Note: Students cannot earn credit for both MATH 1350 and 2301 (MATH 1350 always deducted).
Requisites: MATH 1321 or (C or better in 1200) or math placement level 2 or higher and WARNING: No credit for this course and MATH 2301 (MATH 1350 always deducted)
Credit Hours: 4
General Education Code: 2AS
Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.
Lecture/Lab Hours: 4.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Course Transferability: OTM Course: TMM013 Business Calculus
College Credit Plus: Level 1
- Apply differential calculus to business applications.
- Apply integral calculus to business applications.
- Demonstrate the ability to determine indefnite integrals, use the Fundamental Theorem of Calculus, and integrate by substitution and by parts.
- Determine derivatives of Exponential and Logarithmic Functions.
- Determine derivatives using the power rule, sum & difference rules, product rule, quotient rule, and chain rule.
- Determine higher order derivatives of a function. Understand velocity as the derivative of position and acceleration as the 2nd derivative of position.
- Determine the absolute extrema of a continuous function on a closed interval.
- Determine the continuity of functions at a point or on intervals.
- Determine the limits of functions graphically, numerically, and analytically. Recognize and determine infinite limits and limits at infinity.
- Understand the business terminology of demand, cost, price, revenue, and profit. Use linear, polynomial, rational, algebraic, exponentail, and logarithmic functions in business applications.
- Understand the business terminology of marginal quantities, including marginal cost, marginal revenue, and marginal profit.
- Understand the interpretation of the derivative as the slope of a line tangent to a graph and as the rate of change of a dependent variable with respect to an independent variable and determine the derivative of a function using the limit definition.
- Use and solve differential equations to model growth and decay.
- Use defnite integrals in applications such as determining the area of an enclosed region and fnding the average value of a function.
- Use differentials in approximation problems.
- Use the first and second derivatives to analyze and sketch the graph of a function, including determining intervals on which the graph is increasing, decreasing, constant, concave up, concave down, and finding relative extrema and inflection points.
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