MCV 401 CPT In this CPT you will have a chance to consolidate your knowledge of Calculus and Vectors by reviewing, clari

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Mcv 401 Cpt In This Cpt You Will Have A Chance To Consolidate Your Knowledge Of Calculus And Vectors By Reviewing Clari 1 (63.36 KiB) Viewed 52 times

Mcv 401 Cpt In This Cpt You Will Have A Chance To Consolidate Your Knowledge Of Calculus And Vectors By Reviewing Clari 2 (41.46 KiB) Viewed 52 times

Mcv 401 Cpt In This Cpt You Will Have A Chance To Consolidate Your Knowledge Of Calculus And Vectors By Reviewing Clari 3 (41.33 KiB) Viewed 52 times

MCV 401 CPT In this CPT you will have a chance to consolidate your knowledge of Calculus and Vectors by reviewing, clarifying and demonstrating the multiple concepts you learned during the course. This experience will allow you to incorporate your study sheets that you were working on during the duration of the course, moreover, it's a great opportunity to better prepare yourself for the first-year university Calculus and Linear Algebra. Enjoy! Task 1. You will need a small notebook solely dedicated to the task. You may also organize your work in a duo-tang. 2. Each page must contain a single concept. 3. Concept presentation must include . title • explanation, diagrams, formulae where appropriate • your own problem that demonstrates the application of the concept • solution to the problem Set-up On the day of your presentation, you will randomly draw 2 concepts, one from Calculus and one from Vectors and present these concepts to the class. To demonstrate the thorough knowledge of the concepts you will also have to be able to answer additional questions pertaining to your topic. Rubric Name: Level 1 Level 4 Categories Knowledge and understanding of Level 2 -demonstrates Level 3 -demonstrates -demonstrates limited knowledge of some knowledge of content considerable knowledge of -demonstrates thorough knowledge of concepts content content (Expanation) Application of knowledge in familiar contexts -applies knowledge with -applies knowledge with considerable effectiveness content -applies knowledge with high degree of some effectiveness effectiveness (Example and solution) Use of critical thinking in problem solving -applies knowledge with limited effectiveness -uses critical thinking skills with limited effectiveness -uses critical -uses critical thinking skills with some effectiveness -uses critical thinking skills with thinking skills considerable effectiveness (Extra questions) Communication expression and organization, -communicates for different audiences and purposes with limited -communicates for different audiences and -communicates for different audiences and purposes with with high degree of effectiveness -communicates for different audiences and purposes with high degree of effectiveness presentation of work purposes with some effectiveness considerable effectiveness effectiveness

The list of the concepts in the order of lessons Calculus 1. The limit of a function using graphical approach 2. Properties of Limits (7 properties in total) 3. Evaluating limits that are form and form 4. Evaluating limits that include radicals and absolute value 5. Slope of a tangent as a limit (first principles) 6. Continuity of a function 7. Derivative of simple functions from the first principles 8. Derivative of polynomial functions using power rule 9. The Product Rule 10. The Quotient Rule 11. The Power of a Function Rule 12. The Chain Rule 13. Equation of the tangent line for a function at a given point 14. Equation of the normal at a given point 15. Velocity and acceleration given the position function 16. Speeding up, slowing down, moving in positive direction, moving in negative direction, total distance travelled in a given time interval 17. Algorithm for solving optimization problems 18. Maximum volume of a prism given its surface area 19. Minimum surface area of a cylinder given its volume 20. Shortest distance from a point to the graph of a function 21. Maximum revenue 22. Critical numbers, local and absolute points of extrema 23. Limits of sequences 24. Vertical and horizontal asymptotes using limits 25. Concavity and points of inflection 26. Curve sketching algorithm 27. Derivative of exponential function with the base of e. 28. Derivative of exponential function with a general base 29. Laws of logarithms y = Inx 30. Using logarithm for solving exponential equations 31. Derivative of sine and cosine function 32. Derivative of tangent function 33. Equation of the tangent to the sinusoidal curve 34. Maximum concentration of a substance (exponential functions)

Vectors 1. Vector definition, equal vectors, opposite vectors, collinear vectors, zero vector, unit vector, angle between two vectors, magnitude of a vector, vector vs scalar. 2. Addition of geometric vectors, triangle law and parallelogram law of addition 3. Properties of vectors 4. Position vector in R² and R³ 5. Algebraic vectors: component form, unit vector form, magnitude, direction (in R² only) 6. Operations with algebraic vectors 7. Resultant and Equilibrant force 8. Force resolved to its horizontal and vertical components 9. Resultant velocity given the airplane and the wind velocity 10. Dot product of geometric vectors 11. Properties of dot product 12. Dot product of algebraic vectors 13. Scalar and vector projections 14. The cross product of geometric vectors, properties of the cross product 15. The cross product of algebraic vectors 16. Work and Torque 17. Vector, parametric and symmetric equations of lines in R² and R³ 18. The Cartesian equation of a line in a plane 19. Vector and parametric equations of a plane 20. The Cartesian equation of a plane 21. Using matrices to represent systems of linear equations. Matrix addition and multiplication by a scalar 22. Consistent vs inconsistent system 23. Solving linear systems using elementary row operations 24. Intersection of two planes 25. Intersection of three planes (case one and case two) 26. Point of intersection of three planes