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Intro to Statistics
(by Professor Winter)
Special thanks to Jill Trimble for sharing her lecture videos for the classes below!
Calculus I
Chapter 1
1.1 - Review of Functions
1.2 - Representing Functions
1.3 - Trigonometry Review
Chapter 2
2.1 - The Idea of Limits/Rate of Change
2.2 - Definition of Limits
2.3 - Computing Limits
2.4 - Infinite Limits
2.6 - Continuity
Chapter 3
3.1 - Introducing the Derivative
3.2 - Working with Derivatives
3.3 - Rules of Differentiation
3.4 - The Product and Quotient Rules
3.5 - Trigonometric Derivatives
3.7 - The Chain Rule
3.8 - Implicit Differentiation
3.9 - Related Rates
Chapter 4
4.1 - Maxima and Minima
4.2 - What Derivatives Tell Us
4.6 - Mean Value Theorem
4.7 - L'Hopital's Rule
4.8 - Antiderivatives
Chapter 5
5.1 - Approximate Area Under Curves
5.2 - Definite Integrals
5.3 - Fundamental Theorem of Calculus
5.4 - Integrals; Average and Mean Value Theorem
5.5 - Integrals, Substitution Rule
Chapter 7
7.2 - ln and exponential functions
7.3 - Logarithms & Exponents with Other Bases
Calculus II
Chapter 6
6.1 - Velocity and Net Change
6.2 - Region Between Curves
6.3 - Volume Disk and Washer Method
6.4 - Volume Shell Method
6.5 - Length of Curves
Chapter 7
7.5 - Inverse Trigonometry
Chapter 8
8.2 Integration by Parts
8.3 - Trigonometric Integrals
Chapter 9
9.1 - Sequences and Series
9.2 - Sequences
9.3 - Geometric Series
9.4 - Divergence Test, p series, Integral Test
9.5 - Ratio, Root and Comparison Tests
9.6 - Alternating Series
Chapter 10
10.1- Approximating Functions with Polynomials
10.2 - Properties of Power Series
10.3 - Taylor Series
10.4 - Taylor Series Applications
Chapter 11
11.1- Parametric Equations
11.2 - Polar Coordinates
11.3 - Calculus of Polar Coordinates
College Algebra
Unit 1
U1H1 - All About Exponents
U1H2 - Linear Equations and Inequalities
U1H3 - Parallel and Perpendicular Lines and Slope Interpretation
U1H4 - Complex Numbers
U1H5 - Solving Quadratics Equations Part 1
U1H5 - Solving Quadratics Equations Part 2
U1H6 - Radical Equations
U1H7 - Functions ID, Domain and Range
U1H8 - Graphing Quadratics
U1H9 - Distance, Midpoint, and Circles
U1H10 - Application Problems for Unit 1
Unit 2
U2H1 - Intervals of Increasing/Decreasing/Constant, Even/Odd Functions
U2H2 - Graphs of Common Functions and Transformations
U2H3 - Algebraic Operations of Functions
U2H4 - Zeros of Polynomials by Division
U2H5 - Rational Root, Conjugate Pairs, nth roots
U2H6 - Absolute Value Equations and Inequalities
Unit 3
U3H1 - Rational Expressions and Equations
U3H2 - Vertical and Horizontal Asymptotes
U3H3 - Inverse Functions
U3H4 - Exponential Functions
U3H5 - Logarithmic Functions
U3H6 - Exponential and Logarithmic Equations
U3H7 - Applications of Exponents and Logarithms
U3H8 - Systems of Equations
Trigonometry
Blank Unit Circle
,
Unit Circle Key
Unit 1
U1 HW1 Angles (1.1)
U1 HW2 Angle Relationships and Similar Triangles (1.2)
U1 HW3 Trigonometric Function (1.3)
U1 HW4 Using the Definitions of the trig Functions (1.4)
U1 HW5 Trigonometric Functions of Acute Angles (2.1)
U1 HW6 Trigonometric Functions of Non Acute Angles (2.2)
U1 HW7 Finding Trig Functions Calculator (2.3)
U1 HW8 Solving Right Triangles (2.4)
U1 HW9 Further Applications of Right Triangles (2.5)
U1 HW10 Radian Measure (3.1)
U1 HW11 Applications of Radian Measure (3.2)
Unit 2
U2 HW1 The Unit Circle and Circular Functions (3.3)
U2 HW2 Linear and Angular Speed (3.4)
U2 HW3 Graphs of teh Sine and Cosine Function (4.1)
U2 HW4 Translations of the Graphs of Sine and Cosine (4.2)
U2 HW5 Graphs of the Tangent and Cotangent Function (4.3)
U2 HW6 Graphs of the Secant and Cosecant Function (4.4)
U2 HW7 Fundamental Identities (5.1)
U2 HW8 Verify Trigonometric Identities (5.2)
U2 HW9 Sum and Differnece Identities for Cosine (5.3)
U2 HW10 Sum and Difference Identities for Sine and Tangent (5.4)
U2 HW11 Double Angle Identities (5.5)
U2 HW12 Half Angle Identities (5.6)
Unit 3
U3 HW1 Inverse Circular Functions (6.1)
U3 HW2 Trigonometric Equations I (6.2)
U3 HW3 Trigonometric Equations II (6.3)
U3 HW4 Equations Involving Inverse Trig Functions (6.4)
U3 HW5 Law of Sines (7.1)
U3 HW5 Law of Cosines (7.3)
U3 HW6 Complex Numbers (8.1)
U3 HW7 Trigonometric Polar Form of Complex Numbers (8.2)
U3 HW8 The Product and Quotient Theorems (8.3)
U3 HW9 DeMoivres Thm, Powers Roots Complex Numbers (8.4)
U3 HW10 Polar Equations and Graphs (8.5)