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Math 55
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41	CLASS QUIZ: NOVEMBER 21: ONE-ONE FUNCTIONS MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): (1) For one of these function types for a continuous function from R to R, it is possible to also Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Differential calculus Calculus Functions and mappings Mathematical analysis Derivative Rates Continuous function Generalizations of the derivative Closed and exact differential forms Frchet derivative Limit of a function
42	CLASS QUIZ: OCTOBER 7: LIMIT THEOREMS MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): Questions marked with a () are questions that are somewhat trickier, with the probability of getting Add to Reading List Source URL: files.vipulnaik.com Language: English* - Date: 2016-08-13 11:33:29 Calculus Functions and mappings Continuous function Limit of a function Bounded function Mathematical analysis Uniform continuity Mean value theorem
43	CLASS QUIZ: OCTOBER 14: DERIVATIVES MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): (1) Suppose f and g are functions from R to R that are everywhere differentiable. Which of the following Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Derivative Differential calculus Mathematical analysis Rates Root-finding algorithms Chain rule Mean value theorem
44	CLASS QUIZ: NOVEMBER 23: MEMORY LANE MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): (1) For which of the following specifications is there no continuous function satisfying the specificat Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Multivariable calculus Differential calculus Mathematical analysis Smooth functions Calculus Continuous function Differentiable function Vertical tangent Derivative Vector bundle
45	COMPOSITION THEOREM FOR LIMITS MATH 152, SECTION 55 (VIPUL NAIK) There is a composition theorem for continuous functions: if g is continuous at c and f is continuous at g(c), then f ◦ g is continuous at c. We might sus Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Functions and mappings Limit of a function Continuous function Limit Functional analysis Chain rule Mean value theorem
46	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?: Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 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
47	REVIEW SHEET FOR FINAL: BASIC MATH 152, SECTION 55 (VIPUL NAIK) With minor exceptions, this document does not re-review material already covered in the review sheet for midterm 1 and midterm 2. It is your responsibility Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Functions and mappings Exponentials Logarithms E Differentiation rules Natural logarithm Antiderivative Derivative Exponential function Continuous function Integral Injective function
48	CLASS QUIZ: NOVEMBER 2: INTEGRATION MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): (1) Suppose f and g are both functions on R with the property that f 00 and g 00 are both everywhere the Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Differential calculus Functions and mappings Integral calculus Antiderivative Derivative Continuous function Semi-differentiability Limit of a function Integral Differentiable function Left and right derivative Fundamental theorem of calculus
49	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 Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Differential calculus Mathematical analysis Functions and mappings Smooth functions Convex analysis Inflection point Derivative test Concave function Second derivative Critical point Convex function Derivative
50	CLASS QUIZ: OCTOBER 19: INCREASE/DECREASE AND MAXIMA/MINIMA MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): You are expected to take about one minute per question. (1) () Suppose f is a f Add to Reading List Source URL: files.vipulnaik.com Language: English* - Date: 2016-08-13 11:33:29 Calculus Continuous function Limit of a function Differential of a function

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