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Math 55
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31	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 Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Trigonometry Functions and mappings Differential calculus Dimensionless numbers Ratios Sine Trigonometric functions Limit of a function Indeterminate form
32	INFORMAL INTRODUCTION TO LIMITS MATH 152, SECTION 55 (VIPUL NAIK) Corresponding material in the book: Section 2.1, parts of Sections 2.4. Corresponding material in homework problems: Homework 2, Routine problems 1–4, 7 Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Functions and mappings Limit of a function Classification of discontinuities One-sided limit Limit of a sequence Continuous function Derivative
33	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 Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematics Mathematical analysis Operations research Mathematical optimization Calculus Elementary mathematics Statistical theory Maxima and minima Variable Loss function Function Optimization problem
34	CLASS QUIZ: OCTOBER 21: MAX-MIN PROBLEMS MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): Note: Questions 5-7 have only four options. (1) Consider all the rectangles with perimeter equal to Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Geometry Mathematics Mathematical analysis Triangle geometry Triangles Mathematical series Triangle Equilateral triangle Differential geometry of surfaces Pi Discrete geometry Kakeya set
35	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 Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Differential calculus Functions and mappings Convex analysis Calculus Derivative test Second derivative Inflection point Critical point Derivative
36	CLASS QUIZ: NOVEMBER 4: INTEGRATION MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): (1) Which of the following is an antiderivative of x cos x? (A) x sin x + cos x Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematics Mathematical analysis Analysis Integral calculus Functions and mappings Differentiation rules Antiderivative Derivative Constant of integration
37	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 Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Functions and mappings Limit of a function Oscillation Continuous function Differential of a function
38	REVIEW SHEET FOR MIDTERM 2: ADVANCED MATH 152, SECTION 55 (VIPUL NAIK) This is the part of the review sheet that we will concentrate on during the review session. 1. Left-overs from differentiation basics 1.1. Derivative Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Differential calculus Functions and mappings Analytic geometry Multivariable calculus Inflection point Derivative Critical point Differentiable function Sine
39	CLASS QUIZ: OCTOBER 3: LIMITS MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): (1) Which of these is the correct interpretation of limx→c f (x) = L in terms of the definition of limit? La Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Calculus Limit of a function Constructible universe Generalized functions Riemann integral Distribution
40	CLASS QUIZ: OCTOBER 12: DERIVATIVES MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): Write your answer in the space provided. In the space below, you can explain your work if you want (this Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Functions and mappings Fourier analysis Calculus Derivative Differential calculus Rates Periodic function Intermediate value theorem Multiplicative inverse Limit of a function Proof that is irrational

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