INTRODUCTION TO DERIVATIVES MATH 152, SECTION 55 (VIPUL NAIK) Corresponding material in the book: Sections 3.1, 3.2, 3.3, 3.5. Difficulty level: Moderate if you remember derivatives to at least the AP Calculus level. Oth

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BOOKS FROM THE GET 800 COLLECTION 28 SAT Math Lessons to Improve Your Score in One Month Beginner Course Intermediate Course Advanced Course 320 SAT Math Problems Arranged by Topic and Difficulty Level

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THEOREMS ON LIMITS AND CONTINUITY MATH 152, SECTION 55 (VIPUL NAIK) Difficulty level: Moderate to hard. There are a couple of proofs here that are hard to understand; however, you are not responsible for the proofs of th

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• Mathematical analysis
• Mathematics
• Analysis
• Functions and mappings
• Calculus
• General topology
• Limit of a function
• Continuous function
• Bernhard Riemann
• Net
• Limit
• Squeeze theorem

TRIGONOMETRIC LIMITS AND DERIVATIVES MATH 152, SECTION 55 (VIPUL NAIK) Corresponding material in the book: Section 3.6. Difficulty level: Easy to moderate, particularly if you remember corresponding stuff from AP level c

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• Mathematical analysis
• Mathematics
• Analysis
• Trigonometry
• Functions and mappings
• Differential calculus
• Dimensionless numbers
• Ratios
• Sine
• Trigonometric functions
• Limit of a function
• Indeterminate form

MAX-MIN PROBLEMS MATH 152, SECTION 55 (VIPUL NAIK) Corresponding material in the book: Section 4.5 Difficulty level: Moderate to hard. This is material that you have probably seen at the AP level, but it is very importan

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• Mathematical analysis
• Operations research
• Mathematical optimization
• Calculus
• Elementary mathematics
• Statistical theory
• Maxima and minima
• Variable
• Loss function
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• Optimization problem

GRAPHING MATH 152, SECTION 55 (VIPUL NAIK) Corresponding material in the book: Section 4.8 Difficulty level: Hard. What students should definitely get: The main concerns in graphing a function, how to figure out

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• Mathematical analysis
• Mathematics
• Analysis
• Differential calculus
• Functions and mappings
• Convex analysis
• Calculus
• Derivative test
• Second derivative
• Inflection point
• Critical point
• Derivative

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FORMAL DEFINITION OF LIMIT MATH 152, SECTION 55 (VIPUL NAIK) Difficulty level: Hard. Full attention needed. Covered in class?: Yes. But it is strongly recommended that you read this, as well as the book, preferably prior

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• Mathematical analysis
• Mathematics
• Analysis
• Functions and mappings
• Limit of a function
• Oscillation
• Continuous function
• Differential of a function

FUNCTIONS: A RAPID REVIEW (PART 1) MATH 152, SECTION 55 (VIPUL NAIK) Difficulty level: Easy to moderate. Most of these are ideas you should have encountered either implicitly or explicitly in the past. Covered in class?:

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• Functions and mappings
• Function
• Domain of a function
• Polynomial
• Piecewise
• Linear function
• Inverse function
• Constant function
• Rational function
• Zero of a function
• Monotonic function
• Calculus

CONCAVITY, INFLECTIONS, CUSPS, TANGENTS, AND ASYMPTOTES MATH 152, SECTION 55 (VIPUL NAIK) Corresponding material in the book: Section 4.6, 4.7. Difficulty level: Moderate to hard. If you have seen these topics in AP Calc

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• Differential calculus
• Mathematical analysis
• Functions and mappings
• Smooth functions
• Convex analysis
• Inflection point
• Derivative test
• Concave function
• Second derivative
• Critical point
• Convex function
• Derivative