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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 Extrema

14.2 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 Variables

17.2  Partial Derivatives

 

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