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51	LINEAR FUNCTIONS: A PRIMER MATH 196, SECTION 57 (VIPUL NAIK) Executive summary WordsLinear models arise both because some natural and social phenomena are intrinsically linear, and Add to Reading List Source URL: files.vipulnaik.com - Date: 2016-08-13 11:33:29
52	REVIEW SHEET FOR FINAL: ADVANCED MATH 195, SECTION 59 (VIPUL NAIK) To maximize efficiency, please bring a copy (print or readable electronic) of this review sheet to all review sessions. 1. Directional derivatives and gr Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Calculus Multivariable calculus Differential calculus Convex analysis Mathematical optimization Derivative Lagrange multiplier Quasiconvex function Hessian matrix Gradient
53	A FLAVOUR OF NONCOMMUTATIVE ALGEBRA (PART 1) VIPUL NAIK Abstract. This is the first part of a short two-part write-up on noncommutative algebra. The material is related to course material covered by Professor Victor Ginz Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Algebra Abstract algebra Mathematics Ring theory Algebraic structures Zero divisor Ideal Idempotent Ring Inverse element Zero ring Divisibility
54	LINEAR ALGEBRA: BEWARE! MATH 196, SECTION 57 (VIPUL NAIK) You might be expecting linear algebra to be a lot like your calculus classes at the University. This is probably true in terms of the course structure and format. Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematics Mathematical analysis Elementary algebra Equations Functions and mappings Linear equation Linear algebra Linear function Mathematical model Linearity Parameter Function
55	CLASS QUIZ: SEPTEMBER 26; TOPIC: FUNCTIONS 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 will not affect Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics X2 Differential calculus Analysis Donald Knuth Functions and mappings Multivariable calculus Maths24 COMPASS/Sample Code
56	TAKE-HOME CLASS QUIZ: DUE FRIDAY OCTOBER 4: LINEAR FUNCTIONS AND EQUATION-SOLVING (PART 1) MATH 196, SECTION 57 (VIPUL NAIK) Your name (print clearly in capital letters): PLEASE DO NOT DISCUSS ANY QUESTIONS EXCEPT THE ST Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematics Mathematical analysis Algebra Differential calculus Elementary algebra Logarithms Derivative Natural logarithm Equation Polynomial Exponentiation Partial differential equation
57	LIMITS IN MULTIVARIABLE CALCULUS MATH 195, SECTION 59 (VIPUL NAIK) Corresponding material in the book: Section 14.2 What students should definitely get: The rough ε − δ of limit (modulo knowledge from one variable). 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 Real analysis Calculus Differential calculus Limit of a function Continuous function Derivative Oscillation Indeterminate form
58	TOPIC PROPOSAL: THE STRUCTURE OF FINITE GROUPS VIPUL NAIK DISCUSSED WITH GEORGE GLAUBERMAN The typical college course in group theory covers groups, homomorphisms, normal subgroups, quotients, and group actions. This is Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Group theory Algebra Abstract algebra Finite groups Focal subgroup theorem FeitThompson theorem P-group Hall subgroup SchurZassenhaus theorem Normal p-complement Abelian group Solvable group
59	LAGRANGE MULTIPLIERS MATH 195, SECTION 59 (VIPUL NAIK) Corresponding material in the book: Section 14.8 What students should definitely get: The Lagrange multiplier condition (one constraint, two constraints and in princ Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Differential geometry Differential calculus Multivariable calculus Generalizations of the derivative Mathematical optimization Derivative Tangent space Directional derivative Lagrange multiplier
60	ONE-ONE FUNCTIONS AND INVERSES MATH 152, SECTION 55 (VIPUL NAIK) Corresponding material in the book: Section 7.1. What students should definitely get: The definition of one-to-one function, the computational and checking 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 Inverse function Function Convex function Injective function Continuous function Derivative Bijection Limit of a function

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