Math 1325 Elements of Calculus with Applications Information
LSC-CyFair Math Department
Catalog Description
A one-semester calculus course for non-science majors. Topics include limits, continuity, rates of change, differentiation and integration techniques and applications, calculus of the logarithmic and exponential functions and partial derivatives.
Course Learning Outcomes
The student will:
• Evaluate limits functions from their graphs and/or equations.
• Determine derivative for selected functions and solve applications using these results.
• Integrate selected functions and solve applications using these results.
• Apply the concepts of limits, derivatives, and integrals to solve problems involving functions unique to business applications.
Contact Hour Information
Credit Hours: 3
Lecture Hours: 3 Lab Hours: 0
External Hours: 0
Total Contact Hours: 48
Prerequisites
MATH 1314 or placement by testing;
ENGL 0305 or ENGL 0365 OR higher level course (ENGL 1301), OR placement by testing
Corequisite
ENGL 0307
Required Materials
Textbook:
Lial, Greenwell and Ritchey; Finite Mathematics & Calculus with Applications, 9th ed. with MyMathLab access; Pearson; ISBN Numbers:
Textbook Plus MyMathLab Portal Access: 9781256636618
Textbook Only: 9780321749086
MyMathLab Portal Access Only: 9780558357603
Calculator:
Graphing Calculator required. TI 83, TI 84 or TI 86 series calculators recommended.
Calculators capable of symbolic manipulation will not be allowed on tests. Examples include, but are not limited to, TI 89, TI 92, and Nspire CAS models and HP 48 models.
Neither cell phones nor PDA’s can be used as calculators. Calculators may be cleared before tests.
Getting Started Assignments
Review exercises from MyMathLab that can be copied into your own course. Copy three "getting started" assignments from Chapter 1 from jezek99843
Textbook Sections
Chapter 1. Linear Functions
1.1 Slopes and Equations of Lines (review)
Chapter 10. Nonlinear Functions
10.1 Properties of Functions (review)
10.4 Exponential Functions (review)
10.5 Logarithmic Functions (review)
Chapter 11. The Derivative
11.1 Limits
11.2 Continuity
11.3 Rates of Change
11.4 Definition of the Derivative
Chapter 12. Calculating the Derivative
12.1 Techniques for Finding the Derivative
12.2 Derivatives of Products and Quotients
12.3 The Chain Rule
12.4 Derivatives of Exponential Equations
12.5 Derivatives of Logarithmic Functions
Chapter 13. Graphs and the Derivative
13.1 Increasing and Decreasing Functions
13.2 Relative Extrema
13.3 Higher Derivatives, Concavity and the Second Derivative Test
13.4 Curve Sketching
Chapter 14. Applications of the Derivative
14.1 Absolute Extrema14.2 Applications of the Extrema
14.3 Further Business Applications
14.6 Differentials; Linear Approximation
Chapter 15. Integration
15.1 Antiderivatives
15.2 Substitution
15.3 Area and the Definite Integral
15.4 The Fundamental Theorem of Calculus
15.5 The Area Between Two Curves
Chapter 16. Further Techniques and Applications of Integration
16.1 Integration by Parts
Chapter 17. Multivariate Calculus
17.1 Functions of Several Variables17.2 Partial Derivatives
