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Quote:
"What happens to you in life is not as important as
your attitude toward it."
Objectives:
The student will review all concepts covered in the first
semester.
1. Discuss exam review sheets and other questions.
Outline of the First Semester Exam:
Questions Types of questions
1 - 2 I. Definitions
3 - 5 II. Graphs (absolute value, greatest integer, trig,
algebraic)
5 - 27 III. Multiple Choice
28 - 30 IV. Proofs
31 - 36 V. Derivatives
37 - 41 VI. Evaluate Limits
42 - 56 VII. Miscellaneous Problems
57 – 60. VIII. Matching
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To do well on this exam, you should do the following:
1. Study your notes -study methods used in proofs and problems.
Learn definitions in your notes.
2. Rework problems that I assigned for homework.
3. Rework problems on tests and quizzes and Mini exams
4. Work on problems on review sheets
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Outline of Exam by Topics:
I. Chapter 1 - Functions
A. Properties of functions --Definition, Domain, and Range
B. Graphing Functions
C. Parametric Equations
D. Greatest Integer Function
II. Chapter 2 - Limits and Continuity
A. Limits - Intuitive (and infinite geometric series)
B. Limits - Definition
C. Limits - Computations
D. Continuity
III. Chapter 3 - Differentiation
A. Definiton of Derivative, Graph of derivative
B. Tangent and Normal Lines
C. Derivative Formulas
(Chain Rule, Trig., Tables, Product, Power,
Sum, Quotient)
D. Derivatives of trig functions
E. Differentials
F. Velocity, Acceleration
IV. Chapter 4 - Logarithmic and Exponential Functions
A. Inverse Functions
B. Properties of logs
C. Exponential functions
D. Implicit Differentiation
E. Derivatives of logarithmic and exponential functions
F. Derivatives of Inverse Trigonometric Functions
G. Related Rates
H. L'Hopital's Rule
V. Chapter 5 – Curve Sketching
A. Increasing, Decreasing, Concavity
B. Relative Extrema – Maxima, Minima
VI. Appendix A -Real Numbers, Intervals, and Inequalities
A. Express repeating decimals as ratios of integers
B. Interval Notation
C. Solving inequalities
VII. Appendix B -Absolute Value
VIII. Appendix C -Coordinate Planes and Lines
A. Slope of a line and Angle of inclination
B. Equations of lines
IX. Appendix D -Distance and Circles
A. Distance
B. Circles
X. Appendix E -Trignometry
A. Trig Functions
B. Trig Identities
C. Trig Equations
XI. Appendix F -Solving Polynomial Equations
A. Remainder Theorem
3. Comic Strip -- Christmas card
4. Assignment: Study for Semester Exam
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