Co-16B
Course Information:
Class time: MWF 12:10 - 1 pm
Location: Class Link
Dedicated Office Hours: (TBA)
Embedded Files
Overview of 16B
Overview of 16B
Ch. 4: Exponential and Logarithmic Functions
Ch. 5: Integration
Ch. 6: Techniques of Integration
Ch. 8: Trigonometric Integrals
Ch. 9: Probability and Calculus
**Note: Not all topics in these chapters will be covered and the order may vary with the professor.
Ch. 4: Exponential and Logarithmic Function
Ch. 4: Exponential and Logarithmic Function
Key Concept Questions:
Key Concept Questions:
What is a logarithm?
Hint: If addition is the inverse operation of subtraction, and multiplication is the inverse of division...what is a logarithm the inverse operation of?
Complete this sentence: A log is an operation that undoes _________________
What is the basic form of an exponential function? Is a parabola an exponential since it has an exponent of 2?
What is the basic form of the plot of a log function ?
What is the basic form of the plot of an exponential function
What 3 general features do they share?
How would you compare their domain and range?
What is special about the plot of e^x when compared to all other exponential plots (e.g., 2^x, 3^x, 5^x, ... , a^x)
Hint...this is why Leonard Euler (pronounced "OY-ler" not "YOU-ler") picked e as the "natural base" for growth.
Hint*hint: what is the slope of the e^x function at the y-intercept?
This last bit has IMPORTANT implications for calculus.
What is the derivative of e^x?
What does this imply about the anti-derivative (the reverse derivative) of e^x?
What is the meaning of the anti-derivative?
Could you sketch the deriviative and the anti-deriviative of e^x on the same plot?
Day 3: Exponential Growth/Decay
Day 3: Exponential Growth/Decay
10/5/20
Growth: Interest equation
Decay and half-life
Chain-rule mechanic
Class Notes
Class Notes
Day 4: More derivatives of exponentials and logs
Day 4: More derivatives of exponentials and logs
10/7/20
Using MODELS to differentiate
Logarithmic Differentiation as alternative to complicated mixed type derivatives (quotient + product + chain rule)
Class Notes
Class Notes
Day 5: Derivatives and Rates of Change
Day 5: Derivatives and Rates of Change
10/9/20
Tangent lines
Practice with exponential and log differentiation
The chain rule and implicit differentiation
Class Notes
Class Notes
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