Math 253
Calculus-Early Transcendentals (Custom Edition for LCC)
Briggs/Cochran
Review
3.8 Logarithmic Differentiation
Logarithmic Differentiation ex 2
Logarithmic Differentiation ex 3
Logarithmic Differentiation ex 4
4.7 L'Hopital's Rule
L'Hopital's Rule for the Forms 0/0 and ∞/∞
Related Indeterminate Forms 0*∞
Related Indeterminat Forms ∞ - ∞
5.3 Fundamental Theorem of Calculus, Part I p. 338 (Read ex 5, 6, 7)
The Fundamental Theorem of Calculus Part I
6.7 Logarithmic and Exponential functions
Logarithmic Functions
The Derivative of bx
Integral of bx
Derivatives of General Logarithmic Functions
Ch 7 Integration Techniques (Partial Review)
7.2 Trig Integrals
Integrating Powers and Products of trigonometric functions (1)
Integrating Powers and Products of trigonometric functions (2)
Integrating Powers and Products of trigonometric functions (3)
Integrating Powers and Products of trigonometric functions (4)
Integrating Powers and Products of trigonometric functions (5)
Integrating Powers and Products of trigonometric functions (6)
7.3 Trig Substitutions
Integrals Involving a2-x2 part1
Integrals Involving a2-x2 part2
Integrals Involving a2+x2 or x2-a2
7.4 Partial Fractions
Integration by Parts Ex 1
Integration by Parts - Definite Integral
Integration by Parts - Using IBP Twice
Integration by Parts - A Loopy Example!
7.7 Improper Integrals
Infinity in Upper and Lower Bounds
Infinite Discontinuity at Endpoint
Ch 10 Parametric and Polar Curves
10.1 Parametric Equations
- How to graph parametric equations
- Eliminating the Parameter
- Eliminating the Parameter2
- Parametric Equations moving along the same path
Derivatives of Parametric Equations
10.2 Polar Coordinates
- Polar Coordinates1
- Polar Coordinates2
- Polar Coordinates3
- Polar Coordinates The Basics
- Polar Coordinates Basic Graphing
- Graphing a Polar Curve1
- Graphing a Polar Curve2
10.3 Calculus in Polar Coordinates
Slopes of Tangent Lines
Areas in Polar Coordinates
10.4 Conic Sections
Introduction to Conic Sections
- Parabolas1
- Parabolas2
- Parabolas3
- Parabolas4
- Ellipses1
- Ellipses2
- Hyperbolas1
- Hyperbolas2
- Identifying Conics1
- Identifying Conics2
- Identifying Conics3
Ch 8 Sequences and Infinite Series
8.1 Overview
8.2 Sequences
Limit of a Sequence
Geometric Sequences
Geometric Sequences - A Formula for the 'n-th' term
8.3 Infinite Series
Geometric Series and the Test for Divergence Part 1
Geometric Series and the Test for Divergence Part 2
Expressing a Decimal as a Rational Number
Telescoping Series
8.4 Divergence and Integral Tests
The Integral Test
Remainder Estimate for Integral Test
8.5 Ratio, Root and Comparison Tests
The Ratio Test Ex 1
The Ratio Test Ex 2
The Root Test
Limit Comparison Test and Direct Comparison Test Part 1
Limit Comparison Test and Direct Comparison Test Part 2
8.6 Alternating Series
Alternating Series
Alternating Series More Examples
Alternating Series Estimation Theorem
Absolute Conditional Convergence
Ch 9 Power Series
9.1 Approximating Functions with Polynomials
Power Series Representation of a Function
Taylor Polynomials Ex 1
Remainder in a Taylor Polynomial
9.2 Properties of Power Series
Power Series, Finding the Interval of Convergence
Radius of Convergence for a Power Series
Multiplying and Dividing Power Series
9.3 Taylor Series
Taylor Polynomials Ex 2
Taylor Polynomial for sin (x)
The Binomial Series Ex 1
The Binomial Series Ex 2
9.4 Working with Taylor Series
Differentiating and Integrating Power Series
Representing Functions as Power Series