西南大学《高等数学》课件（英文版）-第1章.pptVIP

1. Definitions of Trig Functions (Jack Ma)Why do we study trigonometric functions? 2. Graphs of Trig Functions P38: sin, cos, tan 3. Trig Formulas They are located at the bottom of the book Behind the T-6 4. Inverse Functions See Section 7.1(P380) 5. Inverse Trig Functions Not study “Inverse Trig Functions” in the high school. See Section 7.6(P425) 6. Elementary Functions Nonelementary Functions (P494) … elementary functions (the functions we have been studying) Basic elementary functions = Common functions (P21)? (0) Constant functions: y = c: y =-1, y = 3,… (1) Power functions (2) Exponential functions(?) (3) Logarithmic functions (4) Trigonometric functions (5) Inverse trigonometric functions A function which can be constructed in finite times using sum, difference, product, quotient and composition operations of the above functions is called the elementary function. Piecewise defined function: y = |x|? Copyright ? 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 1.4 Graphing with Calculators and Computers Matlab Mathematica Copyright ? 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 1.2 Combining Functions; Shifting and Scaling Graphs 1. f + g, . f - g, . f g, . f / g: P28 2. f ? g: P29 (a) (b) Copyright ? 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 1.3 Trigonometric Functions Slide 1 - * Copyright ? 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Copyright ? 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley ? 2017 Pearson Education, Inc. All rights reserved Higher/Advanced Mathematics Textbook References Thomas(at the page 11 of Preface): www.pearsonglobaleditions/thomas Tongji(?Bible) Resources Teaching arrangement//Assignment work Examination score: 30%x + 70%y? 60 Test bank Copyright ? 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 1 Functions The Study Object of Calculus. Copyright ? 201