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– Midterm 1 Review
Midterm 1 will cover sections {0.3-0.7}, 1.1, 1.3-1.6, and 2.1-2.5.
No calculators will be allowed for this midterm.
You may bring a 3x5 index card of notes (on both sides, if you want) to use
as a reference. Make sure it’s truly a 3x5 index card and not something that
closely resembles a 3x5 index card. If you need one, I can provide one for
you.
Course Objectives covered on this Exam:
• Compute limits of algebraic and trigonometric functions in one variable and
identify when the limit does not exist.
• Use limits to discuss the continuity of a function in one variable and identify
asymptotes of a function in one variable.
• Compute derivatives of algebraic and trigonometric functions in one variable
both explicitly.
Topics
• Limits
o Limits as x approaches a constant
o Limits as x approaches (+ or -) infinity
o Special Trig Limits
o Right-Hand and Left-Hand Limits
o When does the limits not exist?
o Limits and Continuity
o Definition of Continuity
o Limits and Vertical/Horizontal Asymptotes
• Derivatives
o Rules (Constant Function Rule, Identity Function Rule, Power Rule,
Constant Multiple Rule, Sum/Difference Rule, Product Rule, Quotient
Rule, Trig Functions Rules, and Chain Rule).
o Tangent Line Problem
o Instantaneous Velocity Problem
Midterm Review Problems:
Section 1.7 – Concepts Test (p. 90) #1, 2, 3, 5-9, 11, 12, 13, 18, 18, 20, 21, 22, 27
Sample Test (p. 91) #1, 3, 5, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 24, 25, 28, 29, 3134
Section 2.10 – Concepts Test (p. 147-148) #7, 10, 11, 13, 16, 21
Sample Test (p. 148-149) #1a-e,g, 2a-e,g, 3, 5-9, 11, 17-27 odd, 38, 39
I would also recommend using the Quizzes 1-4 when reviewing for the exam.