COMM 161
Queen's
Course Overview
Lessons & Practice
I. Welcome
1. Systems of Linear Equations
1.2hr2. Systems of Linear Equations/Augmented Matrices
45min3. Matrices: Basic Operations
38min4. Inverse of a Square Matrix
25min5. Gauss-Jordan Elimination
60min6. Derivatives
2.6hr6.15.1. Derivative by Definition6.15.2. Basic Derivatives6.15.3. Basic Derivatives6.15.4. Derivative by Definition6.15.5. Chain Rule6.15.6. Chain Rule6.15.7. Quotient Rule6.15.8. Quotient Rule6.15.9. Power of a Function Rule6.15.10. Implicit Differentiation6.15.11. Implicit Differentiation6.15.12. Second Derivative6.15.13. Logarithmic Differentiation6.15.14. Logarithmic Differentiation 6.15.15. Inverse Trigonometric Derivatives6.15.16. Tangent Lines6.15.17. Tangent Lines6.15.18. Horizontal Tangent Lines6.15.19. Product Rule6.15.20. Product Rule6.15.21. Product Rule6.15.22. Normal Line
7. Applications of Differentiation
3hr7.15.1. Related Rates7.15.2. Related Rates7.15.3. Related Rates7.15.4. Linear Approximation7.15.5. Linear Approximation7.15.6. Taylor Series from Definition7.15.7. Taylor Polynomials7.15.8. Maclaurin Polynomial7.15.9. Newton's Method7.15.10. Newton's Method7.15.11. L'Hopital's Rule7.15.12. L'Hopital's Rule7.15.13. L'Hopital's Rule7.15.14. Limits7.15.15. L'Hopital's Rule7.15.16. L'Hopital's Rule7.15.17. Limits7.15.18. Limits7.15.19. Extreme Value Theorem7.15.20. Rolle's Theorem7.15.21. Rolle's Theorem7.15.22. MVT7.15.23. MVT7.15.24. MVT7.15.25. MVT7.15.26. Intervals of Increase and Decrease7.15.27. Intervals of Increase and Decrease7.15.28. Critical Points7.15.29. Critical Points7.15.30. Extrema7.15.31. Extrema7.15.32. Second Derivative Test7.15.33. Curve Sketching7.15.34. Curve Sketching7.15.35. Curve Sketching7.15.36. Optimization7.15.37. Optimization7.15.38. Optimization
8. Integrals
1.3hr8.7.1. Finite Sums8.7.2. Antiderivatives: Indefinite Integrals8.7.3. Computing Integrals8.7.4. Definite Integral with Trig8.7.5. Finite Sums8.7.6. Finite Sums8.7.7. Definite Integral8.7.8. Definite Integral8.7.9. Integration8.7.10. Riemann Sums8.7.11. Riemann Sums8.7.12. Riemann Sums8.7.13. FTC I8.7.14. Integral from Definition8.7.15. FTC I8.7.16. FTC I
9. Applications of Integration
1.7hr- 9.I. Chapter Intro
9.7.1. Displacement, Velocity, and Acceleration9.7.2. Position, Velocity and Acceleration 9.7.3. Position, Velocity and Acceleration 9.7.4. Average Value of a Function9.7.5. Average Value of a Function9.7.6. Average Function Value of a Function9.7.7. Area Between Curves9.7.8. Area Between Curves9.7.9. Area Between Curves9.7.10. Area Between Curves9.7.11. Volumes of Revolution, Cylindrical Shells9.7.12. Volumes of Revolution, Disc/Washer9.7.13. Volumes of Revolution, Cylindrical Shells9.7.14. Volumes of Revolution9.7.15. Arc Length9.7.16. Arc Length9.7.17. Arc Length with Partial Fractions9.7.18. Arc Length with Perfect Square9.7.19. Surface Area9.7.20. Surface Area
10. Integration Techniques
2.4hr10.10.1. Integration by Parts10.10.2. Integration by Parts10.10.3. Integration by Parts10.10.4. Integration by Parts10.10.5. Integration by Parts10.10.6. Trigonometric Integral10.10.7. Trigonometric Integral10.10.8. Trigonometric Integral with IBP10.10.9. Trigonometric Substitution10.10.10. Trigonometric Substitution10.10.11. Trigonometric Substitution10.10.12. Partial Fraction Decomposition10.10.13. Partial Fraction Decomposition10.10.14. Partial Fraction Decomposition10.10.15. The Trapezoid Rule10.10.16. The Trapezoid Rule10.10.17. Simpson's Rule
11. Probability
1.8hrI Welcome
Free Activity
Welcome to Grade 11 Math!
Feel free to start with the first lesson, or jump around.
- Use the table of contents to find the information you want
- Watch or read the lessons
- Try the practice problems test your knowledge
- Use the "Ask a question" feature at any time to send me a message.
Answered
A
Ananya K
Hi I was wondering if this course is the grade 11 functions and relations MCR3U1?
J
Jarrett N
InstructorHi!
Yes, it covers all of the curriculum for MCR 3U. There may be additional topics that go beyond the scope of MCR 3U, so be sure to only look at the content that your teacher is asking of you :).
Answered
Anonymous
How do you simplify radicals
J
Jarrett N
InstructorHi! So the key to simplifying radicals is to find the largest perfect square and then use the property of radicals to simplify radicals. Examples of perfect squares are 1, 4, 9, 16, 25, ... etc.
Let's consider for example. We know that 16x5=80. So, we can rewrite . We know that and thus
If you find any specific questions related to radicals that you are stuck on, please let me know! :)
Answered
Anonymous
can i get help on graphing radicals
J
Jessica Y
InstructorSorry for the delay. Please take a look at the radical chapter and let me know if you have any questions :)
Answered
Anonymous
can i get help on trigonometry
J
Jessica Y
InstructorSorry for the delay. Please take a look at the trig chapters and let me know if you have any questions :)
Answered
Anonymous
Can I get help with quadratic equations
J
Jessica Y
InstructorSorry for the delay. Take a look at the chapter on quadratic functions and let me know if you have any questions :)
Answered
Emma W
Can I get help on polynomials?
J
Jessica Y
InstructorAbsolutely! Please check out the chapter on polynomials and let me know if you have any questions.
Answered
A
Amelia V
Do you cover sequences?
J
Jessica Y
InstructorYes, we plan on adding that topic to this course soon. It will be under the chapter titled "Discrete Functions"
Answered
Anonymous
Do you have trigonometry lessons?
J
Jessica Y
InstructorThey're coming soon! In the meantime, please feel free to review trigonometry of right triangles (sine, cosine, tangent) and review trigonometry of acute triangles (sine law, cosine law) here: https://www.wizeprep.com/online-courses/16876/chapter/8/core/1/1
Answered
Anonymous
Do you cover the unit circle
J
Jessica Y
InstructorUnit circles in degrees is a topic that is coming soon! We apologize for the delay. In the meantime, feel free to check out unit circles in Radians (typically a grade 12 topic) https://www.wizeprep.com/online-courses/16872/chapter/7/core/3/1