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Mississippi Gulf Coast Community College Learning Resources Center
Jefferson Davis Learning Center
The Math Center
Calculus Page
Email:
patricia.hensley@mgccc.cc.ms.us
NOTE: You must have the Adobe Acrobat Reader to read and view the practice/resource sheets in this section.
The Math Center has a series of Calculus video tapes that may be checked out for viewing in the Learning Center.
Calculus With Analytical Geometry, 7th edition by Larson, Hostetler, and Edwards
- Tape 1:
- P. Prepartaion for Calculus
- P.1 Graphs and Models
- P.2 Linear Models and Rates of Change
- P.3 Functions and Their Graphs
- P.4 Fitting Models to Data
- Tape 2:
- 1. Limits and Their Properties
- 1.1 A Preview of Calculus
- 1.2 Finding Limits Graphically and Numerically
- 1.3 Evaluating Limits Analytically
- 1.4 Continuity and One-Sided Limits
- 1.5 Infinite Limits
- Tape 3:
- 2. Differentiation
- 2.1 The Derivative and the Tangent Line Problem
- 2.2 Basic Differentiation Rules and Rates of Change
- Tape 4:
- 2.3 The Product and Quotient Rules and Higher-Order Derivatives
- 2.4 The Chain Rule
- 2.5 Implicit Differentiation
- 2.6 Related Rates
- Tape 5:
- 3. Applications of Derivatives
- 3.1 Extrema on an Interval
- 3.2 Rolle's Theorem and the Mean Value Theorem
- 3.3 Increasing and Decreasing Functions and the First Derivative Test
- Tape 6:
- 3.4 Concavity and the Second Derivative Test
- 3.5 Limits at Infinity
- 3.6 A Summary of Curve Sketching
- Tape 7:
- 3.7 Optimization Problems
- 3.8 Newton's Method
- 3.9 Differentials
- Tape 8:
- 4. Integration
- 4.1 Antiderivatives and Indefinite Integration
- 4.2 Area
- 4.3 Reimann Sums and Definite Integrals
- Tape 9:
- 4.4 The Fundamental Theorem of Calculus
- 4.5 Integration by Substitution
- 4.6 Numerical Integration
- Tape 10:
- 5. Logarithmic, Exponential, and Other Transcendental Functions
- 5.1 The Natural Logarithmic Function: Differentiation
- 5.2 The Natural Logarithmic Function: Integration
- 5.3 Inverse Functions
- 5.4 Exponential Functions: Differentiation and Integration
- Tape 11:
- 5.5 Bases Other Than e and Applications
- 5.6 Differential Equations: Growth and Decay
- 5.7 Differential Equations: Separation of Variables
- Tape 12:
- 5.8 Inverse Trigonometric Functions: Differentiation
- 5.9 Inverse Trigonometric Functions: Integration
- 5.10 Hyperbolic Functions
- Tape 13:
- 6. Applications of Integration
- 6.2 Volume: The Disk Method
- 6.3 Volume: The Shell Method
- 7.2 Integration by Parts
- 7.4 Trigonometric Substitution
- 7.5 Partial Fractions
- 7.7 Indeterminant Forms and L'Hopital's Rule
Complete Solutions Manual for Introductory Mathematical Analysis, 9th edition by Haeussler and Paul
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The Solutions Manuals may be checked out for use in the Math Center.
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Complete Solutions Manual for Calculus with Analytical Geometry, 7th edition by Larson, Hostetler, and Edwards
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The Solutions Manuals may be checked out for use in the Math Center.
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