Calculus
Calculus
CD-ROM 515.15 In8 1998
*Interactive Calculus
Calculus 1: A Comprehensive Review 1989
VC 515 C126o
* Equations of Straight Lines
*Functions
*Limits
*Derivatives
*Graphing
*Applications
Calculus 2: A Comprehensive Review 1989
VC 515 C126t
*Simple integrals
*Applications
*Logarithmic & Exponential Functions
*Trigonometric Functions
*Inverse Trigonometric Functions
*Methods Integration
Calculus, 8th ed. Series, Instructional DVDs
(Larson/Hostetler/Edwards, 2006)
DVD 515 C126ca pt. 1-12
*Pt. 1 Chapter P – Preparation 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
Chapter 1 – Limits and Their Properties
~1.1 A Preview of Calculus
~1.2 Finding Limits Graphically and Numerically
*Pt. 2 Chapter 1 – Limits and Their Properties
~1.3 Evaluating Limits Analytically
~1.4 Continuity and One-Sided Limits
~1.5 Infinite Limits
Chapter 2 – Differentiation
~2.1 The Derivative and the Tangent Line Problem
~2.2 Basic Differentiation Rules and Rate of Change
*Pt. 3 Chapter 2 – Differentiation
~2.3 The Product and Quotient Rules and Higher-Order Derivatives
~2.4 The Chain Rule
~2.5 Implicit Differentiation
~2.6 Related Rates
Chapter 3 – Applications of Differentiation
~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
*Pt. 4 Chapter 3 – Applications of Differentiation
~3.4 Concavity and the Second Derivative Test
~3.5 Limits at Infinity
~3.6 A Summary of Curve Sketching
~3.7 Optimization Problems
~3.8 Newton’s Method
~3.9 Differentials
*Pt. 5 Chapter 4 – Integration
~4.1 Antiderivatives and Indefinite Integration
~4.2 Area
~4.3 Riemann Sums and Definite Integrals
~4.4 The Fundamental Theorem of Calculus
*Pt. 6 Chapter 4 – Integration
~4.5 Integration by Substitution
~4.6 Numerical Integration
Chapter 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
*Pt. 7 Chapter 5 – Logarithmic, Exponential, and Other Transcendental Functions
~5.5 Bases Other Than e and Applications
~5.6 Inverse Trigonometric Functions: Differentiation
~5.7 Inverse Trigonometric Functions: Integration
~5.8 Hyperbolic Functions
Chapter 6 – Differential Equations
~6.1 Slope Fields and Euler’s Method
~6.2 Differential Equations: Growth and Decay
*Pt. 8 Chapter 6 – Differential Equations
~6.3 Separation of Variables and the Logistic Equation
~6.4 First-Order Linear Differentiation Equations
Chapter 7 – Applications of Integration
~7.1 Area of a Region Between Two Curves
~7.2 Volume: The Disk Method
~7.3 Volume: The Shell Method
~7.4 Arc Length and Surfaces of Revolution
Chapter 8 – Integration Techniques, L’Hopital’s Rule, and Improper Integrals
~8.2 Integration by Parts
~8.4 Trigonometric Substitution
*Pt. 9 Chapter 8 – Integration Techniques, L’Hopital’s Rule, and Improper
Integrals
~8.5 Partial Fractions
~8.7 Indeterminate Forms and L’Hopital’s Rule
~8.8 Improper Integrals
Chapter 9 – Infinite Series
~9.6 The Ratio and Root Tests
~9.8 Power Series
~9.9 Representation of Functions by Power Series
~9.10 Taylor and Maclaurin Series
*Pt. 10 Chapter 10 – Conics, Parametric Equations, and Polar Coordinates
~10.2 Plane Curves and Parametric Equations
~10.3 Parametric Equations and Calculus
~10.5 Area and Arc Length in Polar Coordinates
Chapter 11 – Vectors and the Geometry of Space
~11.2 Space Coordinates and Vectors in Space
~11.3 The Dot Product of Two Vectors
~11.4 The Cross Product of Two Vectors in Space
*Pt. 11 Chapter 11 – Vectors and the Geometry of Space
~11.5 Lines and Planes in Space
Chapter 12 – Vector-Valued Functions
~12.2 Differentiation and Integration of Vector-Valued Functions
~12.4 Tangent Vectors and Normal Vectors
Chapter 13 – Functions of Several Variables
~13.3 Partial Derivatives
~13.7 Tangent Planes and Normal Lines
Chapter 14 – Multiple Integration
~14.2 Double Integrals and Volume
*Pt. 12 Chapter 14 – Multiple Integration
~14.7 Triple Integrals in Cylindrical and Spherical Coordinates
Chapter 15 – Vector Analysis
~15.2 Line Integrals
~15.4 Green’s Theorem
~15.8 Stoke’s Theorem
Topics in Calculus
VC 515.15 T624 (Pt. 1 – 2)
Video Tutorial Service Presents Calculus, Math Made Easy Series 1991
VC 515 V668 (Pt. 1 – 13)
*Limits & Their Properties
*Differentiation
*Applications of Differentiation
*Integrations
*Transcendental Functions
*Applications of Integration
*Integration Techniques
*More Integration Techniques, L’Hospital’s Rule
Linear Programming, Pure Mathematics, Statistics, &
Trigonometry
Linear Programming
Linear Programming
Academic Press, 1993
Alan Sultan
519.72 Su59L
Summary: Linear Programming is aimed at undergraduate students who are
interested in some
of the current applications of mathematics to the real world. This text and
programming disk are written without a linear algebra prerequisite , and are
still
mathematically honest. The approach taken is pedagogically a very simple one,
using the compact tableau. It is self-contained and so simple that the only
prerequisite is knowledge of high school algebra.
Pure Mathematics
Introduction to Pure Mathematics Series:
Calculating PI
VC 515.15 C126
Series & E
VC 515.15 Se67
Application of Conic Sections
VC 516.15 Ap58
Statistics
Against All Odds: Inside Statistics
VC 519.5 AG14 (Pt. 1- 13)
*Pt.1 - What is statistics? Picturing distributions
*Pt.2 - Describing distributions. Normal distributions
*Pt.3 - Normal calculations. Time series
*Pt.4 - Models for growth. Describing relationships
*Pt.5 - Correlation. Multidimensional data analysis
*Pt.6 - The question of causation. Experimental design
*Pt.7 - Blocking and sampling. Samples and surveys
*Pt.8 - What is probability? Random variables
*Pt.9 - Binomial distributions . The sample mean and control charts
*Pt.10 - Confidence intervals. Significance tests
*Pt.11 - Inference for one mean. Comparing two mean
*Pt.12 - Inference for proportions. Inference for two-way tables
*Pt.13 - Inference for relationships. Case study
Trigonometry
Trigonometry
VC 516.24 T734
*The Six Trig Functions
*Right Triangle Trig
*Radian Measure
*Graphing & Inverse Functions
*Identities & Formulas
*Equations
*Triangles
*Complex Numbers & Polar Coordinate
*Logarithms
Trigonometry: A Comprehensive Review (1991)
VC 516.24 T734
*Trigonometry of the Right Triangle
*Trig Functions of Angles of any Size: General Angle
*Trig Graphs
*Generalized Trigonometric Relationships
*Trigonometric Equations
