MA123, Chapter 9: Computing some integrals (pp. 189-205, Gootman)
Understand how to use basic summation formulas to evaluate more complex sums.
Chapter
Goals:
Understand how to compute limits of rational functions at innity.
Understand how to use the b
MA123, Supplement: Exponential and logarithmic functions (pp. 315-319, Gootman)
Chapter
Goals:
Review properties of exponential and logarithmic functions.
Learn how to differentiate exponential and logarithmic functions.
Learn about exponential growth
MA123, Chapter 8: Idea of the Integral (pp. 155-187, Gootman)
Chapter
Goals:
Assignments:
Understand the relationship between the area under a curve and the
denite integral.
Understand the relationship between velocity (speed), distance and the
denite i
MA123, Chapter 6: Extreme values, Mean Value Theorem, Curve sketching, and Concavity
Chapter
Apply the Extreme Value Theorem to nd the global extrema for continuous function on
closed and bounded interval.
Understand the connection between critical poin
MA123, Chapter 7: Word Problems (pp. 125-153, Gootman)
Chapter
Goals:
In this Chapter we learn a general strategy on how to approach the two main types of word
problems that one usually encounters in a rst Calculus course:
Max-Min problems
Related Rates
MA123, Chapter 10: Formulas for integrals: integrals, antiderivatives, and the
Fundamental Theorem of Calculus (pp. 207-233, Gootman)
Chapter
Goals:
Understand the statement of the Fundamental Theorem of Calculus.
Learn how to compute the antiderivative
Formulas for integrals: integrals, antiderivatives, and the Fundamental Theorem of Calculus
Chapter 10:
Practice/review problems
The collection of problems listed below comprises questions taken from previous MA123 exams.
x
[1]. Let
t2 + 3 dt.
h(x) =
Find
Word problems
Chapter 7:
Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
Max-min problems
[1]. A eld has the shape of a rectangle with two semicircles attached at opposite sides. Find th
Extreme values, the Mean Value Theorem, curve sketching and concavity
Chapter 6:
Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
Extreme values problems on a closed interval
[1]. Suppose
Exponential and logarithmic functions
Supplement:
Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
[1]. Suppose that f (x) = ln(g(x). Assume that g(5) = 3 and g (5) = 4. Find f (5).
(a) 5
The idea of the integral
Chapter 8:
Practice/review problems
The collection of problems listed below comprises questions taken from previous MA123 exams.
[1]. Estimate the area under the graph of f (x) = x2 + 2 on the interval [0, 2] by dividing the inter