CALC 1301

UWO

Course Overview

Lessons & Practice

I. Welcome

1. Differentiation Topics Review

6hr

1.I. Introduction

1.1.1. Definition of a Limit4 min

1.1.2. Example: Limit of a Function 4 min

1.1.3. Limits Laws & Direct Substitution3 min

1.1.4. Example: Direct Substitution 1 min

1.1.5. Practice: Direct Substitution 4 min

1.1.6. Example: Direct Substitution 3 min

1.1.7. Practice: Limit Law & Direct Substitution2 min

1.1.8. Infinite Limits & Vertical Asymptotes6 min

1.1.9. Limits at Infinity & Horizontal Asymptotes5 min

1.2.1. Exponential & Logarithmic Limits5 min

1.2.2. Example: Horizontal Asymptote 4 min

1.2.3. Practice: Log Limits 2 min

1.2.4. Trig & Inverse Trig Limits4 min

1.2.5. Example: Inverse Trig and Log Limits 2 min

1.2.6. Practice: Inverse Trig & Exponential Limits 2 min

1.2.7. Example: Inverse Trig Limit 2 min

1.2.8. Practice: Trig Limits

1.2.9. Example: Trig Limits2 min

1.2.10. Practice: Trig Limits3 min

1.3.1. What to do when the limit is

\frac{0}{0}

1.3.2. Example:

\frac{0}{0}

1.3.3. Practice:

\frac{0}{0}

1.3.4. Practice:

\frac{0}{0}

1.3.5. Example:

\frac{0}{0}

Limit with Absolute Value 4 min

1.3.6. Practice:

\frac{0}{0}

Limit with Absolute Value 4 min

1.3.7. Practice:

\frac{0}{0}

Limit with Absolute Value 3 min

1.3.8. Example:

\frac{0}{0}

Limit with Square Root 5 min

1.3.9. Practice:

\frac{0}{0}

Limit with Square Root 3 min

1.3.10. Practice: Tricky

\frac{0}{0}

Limit Question 3 min

1.4.1. What to do when the limit is

\frac{\infty}{\infty}

1.4.2. Example:

\frac{\infty}{\infty}

1.4.3. Practice:

\frac{\infty}{\infty}

1.4.4. Practice:

\frac{\infty}{\infty}

1.4.5. Example:

\frac{\infty}{\infty}

Limit with Square Root 4 min

1.4.6. Practice:

\frac{\infty}{\infty}

Limit with Square Root 4 min

1.5.1. What to do when the limit is ∞ - ∞?2 min

1.5.2. Example: ∞ - ∞ Limits with Square Root5 min

1.5.3. Practice: ∞ - ∞ Limits with Square Root7 min

1.5.4. Practice: ∞ - ∞ Limits with Fractions

1.6.1. Squeeze Theorem3 min

1.6.2. Example: Squeeze Theorem 4 min

1.6.3. Practice: Squeeze Theorem 4 min

1.6.4. Practice: Squeeze Theorem2 min

1.7.1. Continuity of Functions3 min

1.7.2. Example: Continuity of Piecewise Functions 5 min

1.7.3. Practice: Continuity of Piecewise Functions 6 min

1.7.4. Practice: Logarithmic Function & Continuity 2 min

1.7.5. Example: Continuity of Piecewise Function 5 min

1.7.6. Practice: Continuity of Piecewise Functions3 min

1.7.7. Practice: Continuous Functions 3 min

1.7.8. Intermediate Value Theorem (IVT)4 min

1.7.9. Example: IVT & Roots4 min

1.7.10. Practice: IVT & Equation Solutions 5 min

1.7.11. Practice: IVT

1.8.1. Interpretation of Derivatives8 min

1.8.2. Example: Definition of Derivative 5 min

1.8.3. Practice: Definition of Derivative 6 min

1.8.4. Example: Differentiability 4 min

1.8.5. Practice: Limit Definition of Derivatives 4 min

1.9.1. Derivative Rules7 min

1.9.2. Example: Derivative Rules4 min

1.9.3. Product, Quotient, and Chain Rule4 min

1.9.4. Example: Product, Quotient, and Chain Rule 8 min

1.9.5. Practice: Finding a Derivative 4 min

1.9.6. Practice: Finding a Derivative 4 min

1.9.7. Example: Higher Order Derivative4 min

1.9.8. Practice: Higher Order Derivative6 min

1.9.9. Example: Product Rule4 min

1.9.10. Practice: Product Rule6 min

1.9.11. Example: Chain Rule*3 min

1.9.12. Practice: Chain Rule6 min

1.10.1. Tangent and Normal Lines4 min

1.10.2. Example: Equation of Tangent Line 5 min

1.10.3. Example: Equation of Tangent Line 5 min

1.10.4. Practice: Slope of a Tangent Line 3 min

1.10.5. Practice: Slope of a Normal Line 3 min

1.11.1. Implicit Differentiation1 min

1.11.2. Example: Implicit Differentiation 5 min

1.11.3. Practice: Implicit differentiation 4 min

1.11.4. Practice: Tangent line 4 min

1.12.1. Complicated Log Differentiation3 min

1.12.2. Example: Log Derivative 2 min

1.12.3. Practice: Log Derivative 2 min

1.12.4. Example: Complicated Log Derivative 4 min

1.12.5. Practice: Complicated Log Derivative 5 min

1.13.1. Related Rates3 min

1.13.2. Example: Related Rates 5 min

1.13.3. Practice: Related Rates5 min

1.13.4. Practice: Related Rates6 min

1.14.1. Maximum and Minimum7 min

1.14.2. Example: Maximum and Minimum 4 min

1.14.3. Practice: Graph of a Derivative 5 min

1.14.4. Practice: Inflection Point 4 min

1.14.5. Practice: Max, Min, and Inflection Points 3 min

1.14.6. Practice: Inflection Points 4 min

1.15.1. L'Hospital's Rule5 min

1.15.2. Example: L'Hospital's Rule4 min

1.15.3. Practice: L'Hospital's Rule2 min

1.15.4. Example: L'Hospital's rule 4 min

1.15.5. Practice: L'Hospital's Rule4 min

1.15.6. Example: L'Hospital's rule 3 min

1.15.7. Practice: L'Hospital's Rule 4 min

1.15.8. Practice: L'Hospital's Rule *Hard4 min

2. Integration Techniques

2.8hr

2.1.1. Integration by Parts6 min

2.1.2. Practice4 min

2.1.3. Practice (w/

\ln

2.1.4. Practice (w/ exp & trig)6 min

2.2.1. Trigonometric Integrals3 min

2.2.2. Practice (odd power of

\cos x

2.2.3. Practice (odd power of

\sin x

2.2.4. Practice (even powers of

\sin x

\cos x

2.2.5. Practice (even power of

\sec x

2.2.6. Practice (w/

\sec x \tan x

2.2.7. Practice (

\sin (mx)

\sin(nx)

2.2.8. Practice (special case

\sec x

2.2.9. Practice (special case

\sec^3x

2.2.10. Reduction Formula2 min

2.2.11. Practice5 min

2.2.12. Practice3 min

2.3.1. Trigonometric Substitution10 min

2.3.2. Practice6 min

2.3.3. Practice5 min

2.3.4. Practice (w/ completing the square)6 min

2.4.1. Partial Fractions Decomposition7 min

2.4.2. Practice (linear factors only)4 min

2.4.3. Practice (w/ quadratic factors)7 min

2.4.4. Practice (w/ long division)6 min

2.5.1. Strategies for Integration3 min

2.5.2. Practice (rationalizing substitution)4 min

2.5.3. Practice: Mixed Integrals4 min

2.5.4. Practic6 min

2.5.5. Practice5 min

2.5.6. Practice7 min

2.5.7. Practice7 min

2.6.1. Improper Integrals4 min

2.6.2. Practice (type 1)2 min

2.6.3. Practice (type 1)5 min

2.6.4. Practice (Type 2)5 min

2.7.1. Comparison Theorem for Improper Integrals3 min

2.7.2. Practice (type 1 - converges)3 min

2.7.3. Practice (type 2 - converges)4 min

2.7.4. Practice (type 2 - diverges)

2.Q. Integration Techniques Quiz18 Qns

3. Sequences and Series

2hr

3.1.1. Sequences8 min

3.1.2. Series7 min

3.1.3. Practice (Partial sums)2 min

3.1.4. Practice (Geometric series)2 min

3.1.5. Practice (Geometric series)3 min

3.1.6. Practice: Series Application6 min

3.1.7. How to Test if a Series Converges?

3.2.1. Test of Divergence (nth Term Limit Test)2 min

3.2.2. Practice2 min

3.2.3. Practice1 min

3.2.4. Practice3 min

3.2.5. Practice3 min

3.3.1. Integral Test1 min

3.3.2. Practice: Integral Test6 min

3.3.3. Practice: Integral Test5 min

3.4.1. Series and Limit Comparison Tests5 min

3.4.2. Practice (limit comparison test)2 min

3.4.3. Practice (limit comparison test)3 min

3.4.4. Practice (telescoping series*)6 min

3.4.5. Practice (series comparison test)5 min

3.4.6. Practice (series comparison test)2 min

3.4.7. Practice (telescoping series*)3 min

3.5.1. Absolute Convergence Test3 min

3.5.2. Practice5 min

3.5.3. Alternating Series Test2 min

3.5.4. Practice: AST5 min

3.6.1. Ratio Test2 min

3.6.2. Practice5 min

3.6.3. Practice2 min

3.6.4. Practice (recursive series*)4 min

3.7.1. Root Test1 min

3.7.2. Practice3 min

3.7.3. Practice: Root Test4 min

3.8.1. How to Pick Which Convergence Test to Use?6 min

3.Q. Sequences and Series Quiz13 Qns

4. Power Series

1.4hr

4.1.1. Definitions of Power Series9 min

4.1.2. Practice (radius of convergence)2 min

4.1.3. Practice (radius & interval of convergence)7 min

4.1.4. Practice: Radius & Interval of Convergence4 min

4.2.1. Representing Functions as Power Series2 min

4.2.2. Practice2 min

4.2.3. Practice2 min

4.2.4. Practice (w/ partial fractions)7 min

4.2.5. Differentiation and Integration of Power Series3 min

4.2.6. Practice (differentiating power series)4 min

4.2.7. Practice (integrating power series)4 min

4.2.8. Practice (integrating power series*)8 min

4.3.1. Taylor and Maclaurin Series6 min

4.3.2. Practice (Taylor series)7 min

4.3.3. Common Maclaurin Series (Memorize!)*5 min

4.3.4. Practice (Maclaurin series)2 min

4.3.5. Practice (Maclaurin series)3 min

4.3.6. Practice (Maclaurin series of an integral)2 min

4.3.7. Practice (evaluating a series*)3 min

4.Q. Power Series Quiz10 Qns

5. Parametric & Polar Curves

1.6hr

5.1.1. Parametric Curves6 min

5.1.2. Practice (Cartesian equations)2 min

5.1.3. Practice (graphs)4 min

5.1.4. Practice (graphs)3 min

5.2.1. Tangents/Derivatives of Parametric Curves2 min

5.2.2. Practice (derivatives)2 min

5.2.3. Practice (horizontal/vertical tangents)5 min

5.2.4. Practice (horizontal/vertical tangents*)6 min

5.2.5. Arc Length of a Curve3 min

5.2.6. Practice Question: Arc Length Function4 min

5.2.7. Arc Length of a Parametric Curve2 min

5.2.8. Practice (arc length)3 min

5.3.1. Polar Coordinates7 min

5.3.2. Graphing Polar Curves6 min

5.3.3. Practice (graphs)6 min

5.3.4. Practice (polar coordinates)2 min

5.3.5. Practice (matching graphs)4 min

5.4.1. Tangents/Derivatives of Polar Curves2 min

5.4.2. Practice (derivative)4 min

5.4.3. Practice (horizontal/vertical tangents)7 min

5.4.4. Arc Length, Area Under & Between Curves2 min

5.4.5. Practice (arc length)3 min

5.4.6. Practice (area inside curve)2 min

5.4.7. Practice (area inside curve)4 min

5.4.8. Practice (area between curves)8 min

5.Q. Parametric and polar curves Quiz6 Qns

6. Differential Equations

1.1hr

6.1.1. Differential Equations8 min

6.2.1. Separable First Order Differential Equations3 min

6.2.2. Practice (separable DE)2 min

6.2.3. Practice (IVP)3 min

6.2.4. Practice (IVP)3 min

6.2.5. Practice (IVP*)5 min

6.2.6. Practice (separable DE)1 min

6.3.1. Linear First Order Differential Equations7 min

6.3.2. Practice (integrating factor)1 min

6.3.3. Practice (linear DE)3 min

6.3.4. Practice (IVP)3 min

6.3.5. Practice (IVP)4 min

6.4.1. Common DE Applications (Word Problems)

6.4.2. Practice (population)3 min

6.4.3. Practice (population)4 min

6.4.4. Practice (cooling & heating)3 min

6.4.5. Practice (mixing tank)6 min

6.4.6. Practice (mixing tank)8 min

6.Q. DE Quiz4 Qns

Mock Exams

ME.1. Exam-Like Questions -- Integration Techniques7 Qns

ME.2. Exam-Like Questions -- Integration Techniques9 Qns

ME.3. Mock Midterm (Version 1)20 Qns

ME.4. Mock Midterm (Version 2)17 Qns

ME.5. Mock Final Exam25 Qns

ME.6. Midterm Test - Mock Assessment22 Qns

ME.7. Final Exam - Mock Assessment18 Qns

I Welcome

Free Activity

Welcome to Calculus 2!
My name is Corey and I'm the instructor for this course. Feel free to go through this course at your own pace
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Answered

Anonymous

will there be a crash course for the midterm?

C

Corey M

Instructor

Unfortunately no, I don't believe that we have one scheduled for this semester.

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