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 rat
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
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 relations
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 int
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
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 Theore
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
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 w
Computing some integrals
Chapter 9:
Practice/review problems
The collection of problems listed below comprises questions taken from previous MA123 exams.
[1]. Evaluate the sum
3 + 6 + 9 + 12 + + 30
(a
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.
Ex
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)
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