Math 117

#class

Calculus 1 for Engineering

Prereqs: MCV4UI

Continuity means that it's continuous
- Prof. Jintao Deng, October 25, 2022, 11:10 EDT

You're a grown up. Don't call your father "daddy".
- Prof. Jintao Deng, October 26, 2022, 10:34 EDT

Which one of the three does not belong? An experimental physicist, a pure math major, a businessman, and a large pepperoni pizza? The pure math major, because the other three can feed a family of four
- Prof Jintao Deng, October 28, 2022, 11:19 EDT

AH SHIT
- Prof. Jintao Deng, October 30, 2022, 14:50 EDT

A doctor needs to give a brain transplant. He has the brain of a politician and a mathematician. Which one should he choose? Which one is better? ... Why nobody thinks he should use the politician? Well, the correct answer is politician, because the brain has never been used.

You can call your father anti-son. I am not responsible if you get beat.
- Prof. Jintao Deng, November 8, 2022, 11:02 EDT

I think the math department wants to get rid of idiots like me
- Prof. Jintao Deng, November 25, 2022, 12:20 EDT

Student: "Do you have any tips on getting part marks?"
Prof. Jintao Deng: "Get things wrong"

  1. Functions
    3. Inverse Functions
    4. Symmetry
    5. Piecewise Functions
    - Heaviside Function
    6. Periodicity
    7. Rational Functions and Partial Fraction Decomposition
    8. Trigonometry
    - Trig Functions
    - Trig Identities
    - Hyperbolic Trig Functions
    9. Inverse Trig Functions
    10. Working with Sines and Cosines
  2. Limits
    11. Sequences
    - Limits of Sequences
    - Calculation of Limits
    - Sequences Without Limits
    12. Limits of Functions of Real Variables
    13. Continuity
  3. Differential Calculus
    14. The Derivative
    15. Differentiation Formulas
    16. Implicit Differentiation
    17. Theorems
    1. Differentiability Implies Continuity
    2. Mean Value Theorem
    3. L'Hôpital's Rule
    18. Related Rates
    19. Differentials
    20. Graphical Implications of the Derivative (Application to Curve-Sketching)
  4. Integral Calculus
    21. The Definite Integral
    22. Fundamental Theorem of Calculus
    23. Indefinite Integrals
    24. Method of Substitution
    25. Integration by Parts
    26. Applications
    1. Area Between Two Curves
    2. Mean Value of Functions
    27. Trigonometric Substitutions
    28. Integration of Rational Functions
    29. integration rules
    30. More Applications
    1. Arc Lengths
    2. Volumes of Solids of Revolution
    31. Improper Integrals
  5. Polar Coordinates
    32. introduction
    33. Arc Length
  6. Complex Numbers
    34. Complex Numbers
    - Complex Arithmetic
    - Polar Form and Complex Exponential Form
    - Euler's Formula
    - DeMoivre's Theorem
    - Complex Roots
    35. Impedance