MATH 154

U of A

Course Overview

Lessons & Practice

I. Welcome

1. Domain, Graphs, Functions

1.3hr

1.1.1. Interval Notation 4 min

1.1.2. Set Notation3 min

1.1.3. Example4 min

1.1.4. Practice2 min

1.1.5. Practice52 sec

1.1.6. Practice44 sec

1.1.7. Cheatsheet

1.2.1. Domain2 min

1.2.2. Range2 min

1.2.3. Example2 min

1.2.4. Practice 40 sec

1.2.5. Practice 3 min

1.3.1. Operations with Functions3 min

1.3.2. Example2 min

1.3.3. Practice2 min

1.3.4. Practice1 min

1.4.1. Factoring 5 min

1.4.2. Factoring a Difference & Sum of Cubes3 min

1.4.3. Example2 min

1.4.4. Practice46 sec

1.4.5. Practice2 min

1.4.6. Practice2 min

1.5.1. Radical Functions59 sec

1.5.2. Solving Radical Equations5 min

1.5.3. Example5 min

1.5.4. Practice8 min

1.6.1. Piecewise Functions4 min

1.6.2. Example5 min

1.6.3. Practice3 min

1.7.1. Absolute Value Function1 min

1.7.2. Example3 min

3. Continuity

14min

3.1.1. Continuity2 min

3.1.2. Example2 min

3.1.3. Practice4 min

3.2.1. The Intermediate Value Theorem2 min

3.2.2. Example2 min

3.2.3. Practice2 min

4. Differentiation

31min

4.1.1. Derivatives as a Rate of Change2 min

4.1.2. Average Rate of Change46 sec

4.1.3. Example2 min

4.1.4. Practice1 min

4.2.1. Differentiation Laws51 sec

4.3.1. The Power Rule1 min

4.3.2. Example2 min

4.3.3. Practice51 sec

4.4.1. The Product Rule49 sec

4.4.2. Example2 min

4.4.3. Example2 min

4.4.4. Practice2 min

4.5.1. The Quotient Rule1 min

4.5.2. Example2 min

4.5.3. Practice4 min

4.6.1. The Chain Rule1 min

4.6.2. Example2 min

4.6.3. Practice3 min

5. Applications of The First and Second Derivative

2.2hr

5.1.1. Higher Order Derivatives2 min

5.1.2. Example3 min

5.1.3. Practice2 min

5.1.4. Practice

5.1.5. Practice2 min

5.2.1. Implicit Differentiation2 min

5.2.2. Example3 min

5.2.3. Example3 min

5.2.4. Practice3 min

5.3.1. Cost, Revenue, and Profit2 min

5.3.2. Example3 min

5.3.3. Practice2 min

5.3.4. Practice4 min

5.4.1. Elasticity of Demand2 min

5.4.2. Example3 min

5.4.3. Practice: Elasticity of Demand4 min

5.5.1. Compound Interest2 min

5.5.2. Example3 min

5.5.3. Practice2 min

5.6.1. Intervals of Increase and Decrease1 min

5.6.2. Example2 min

5.6.3. Practice3 min

5.7.1. Critical Points and Extrema2 min

5.7.3. Practice3 min

5.8.1. 1st and 2nd Derivative Tests3 min

5.8.2. Example7 min

5.8.4. Practice3 min

5.9.1. Maximum and Minimum on Closed Intervals2 min

5.9.2. Example4 min

5.9.3. Practice3 min

5.9.4. Practice3 min

5.10.1. Concavity and Inflection Points56 sec

5.10.2. Example6 min

5.10.3. Practice6 min

5.11.1. Curve Sketching2 min

5.11.2. Example7 min

5.11.3. Practice9 min

5.11.4. Practice

5.12.1. Optimization1 min

5.12.2. Example4 min

5.12.3. Example4 min

5.12.4. Practice6 min

5.12.5. Practice4 min

7. Integrals

1.4hr

7.1.1. Antiderivatives (Indefinite Integral)3 min

7.1.2. Example2 min

7.1.3. Practice1 min

7.1.4. Practice1 min

7.1.5. Practice1 min

7.2.1. Antiderivatives (Indefinite Integral) of Exponential Functions1 min

7.2.2. Example42 sec

7.2.3. Practice1 min

7.2.4. Practice2 min

7.3.1. Antiderivatives (Indefinite Integral) of

\frac{1}{x}

7.3.2. Example2 min

7.3.3. Practice1 min

7.4.1. The Definite Integrals & Area Under a Curve2 min

7.4.2. Example7 min

7.4.3. Practice2 min

7.4.4. Practice12 min

7.5.1. Properties of the Definite Integral2 min

7.5.2. Practice2 min

7.5.3. Practice2 min

7.6.1. Integration by Substitution2 min

7.6.2. Example4 min

7.6.3. Example3 min

7.6.4. Example (w/ Back-Substitution)4 min

7.6.5. Practice

7.6.6. Practice

7.6.7. Practice

7.6.8. Practice (w/ Back-Substitution)

7.7.1. Computing Definite Integrals Geometrically44 sec

7.7.2. Example1 min

7.7.3. Practice1 min

7.8.1. Fundamental Theorem of Calculus - Part I2 min

7.8.2. Example1 min

7.8.3. Example48 sec

7.8.4. Practice1 min

7.8.5. Practice2 min

7.9.1. Fundamental Theorem of Calculus - Part 21 min

7.9.2. Example2 min

7.9.4. Practice 4 min

7.9.5. Practice3 min

7.9.6. Practice1 min

8. Applications of Integration

12min

8.I. Chapter Intro23 sec

8.1.1. Area between curves1 min

8.1.2. Example5 min

8.1.3. Example5 min

8.1.4. Practice

8.1.5. Practice

8.2.1. Consumer and Producer Surplus

8.2.2. Example: Consumer and Producer Surplus

8.2.3. Practice: Consumer and Producer Surplus

8.2.4. Lorenz Curves and the Gini Index

8.2.5. Example: Gini Index

8.2.6. Practice: Gini Index Formula

Mock Exams

ME.1. Midterm Mock Assessment11 Qns

ME.2. Midterm Exam - Mock Assessment41 Qns

ME.3. Final Exam - Mock Assessment90 Qns

I Welcome

Free Activity

Welcome to Integral Calculus!
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

L

Layan E

Use the Intermediate Value Theorem to show that thereis a root of the given equation in the specified interval.Use the Intermediate Value Theorem to show that thereis a root of the given equation in the specified interval.
sin(x)=x2−x, x∈(1,2)

C

Corey M

Instructor

While this isn't quite the place for this question (please refer to the IVT section in the course), and we can't really just solve random problems for you, I can give you a bit of a hint:  You could try moving everything to one side of the equation and treating it like a function, and then see if you can't find function values within your specified range that return a positive value and a negative value (another hint: try the endpoints of your interval first).  If you're able to do that, then the IVT tells us that there should exist a function input between those two points that returns 0 or, in other words, that is a root.

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