Advanced Mathematics D

Slides:



Advertisements
Similar presentations
Beatrice Venturi1 Economic Faculty STABILITY AND DINAMICAL SYSTEMS prof. Beatrice Venturi.
Advertisements

E(X 2 ) = Var (X) = E(X 2 ) – [E(X)] 2 E(X) = The Mean and Variance of a Continuous Random Variable In order to calculate the mean or expected value of.
DIFFERENTIATION & INTEGRATION CHAPTER 4.  Differentiation is the process of finding the derivative of a function.  Derivative of INTRODUCTION TO DIFFERENTIATION.
Three Options Requirements 19 Required core credits 7 Elective credits 26 or more total credits 3 Options.
Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.
Integrating Technology into Social Studies Curriculum Integrating Technology into Social Studies Curriculum.
Advanced Higher Mechanics Linear and Parabolic Motion Mathematical Techniques for Mechanics Force, Energy and Periodic Motion AH.
Mathematics. Session Differential Equations - 2 Session Objectives  Method of Solution: Separation of Variables  Differential Equation of first Order.
By: Jack Julsing.  Calculus is a branch of mathematics that is among the hardest to learn. It focuses on limits, function, derivatives, and integrals.
Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation.
Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation.
What is Calculus?. (Latin, calculus, a small stone used for counting) is a branch of mathematics that includes the study of limits, derivatives, integrals,
MAT 1235 Calculus II 4.3 Part I The Fundamental Theorem of Calculus
Beginning 1956  Associate of Science Degree included 27 credits of mathematics  Math 12 Plane Trigonometry  Math 13 Analytical Geometry  Math 91 Calculus.
The Fundamental Theorem of Calculus is appropriately named because it establishes connection between the two branches of calculus: differential calculus.
COMPUTER ENGINEERING FIRST YEAR SECOND YEAR Fall Winter Spring
Higher Mathematics.
Chapter 5 Review JEOPARDY -AP Calculus-.
MA 6251 MATHEMATICS-II . M.JAYAKUMAR ASSISTANT PROFESSOR
Mathematics for bio-industry syllabus
Examples of Learning Activities
Product and Quotient Rules
Chapter 5 The Definite Integral. Chapter 5 The Definite Integral.
Advanced Higher Mathematics
Advanced Higher Mechanics
A Preview of Calculus Lesson 1.1.
MTH1170 The Fundamental Theorem of Calculus
Advanced Mathematics D
Differentiating Polynomials & Equations of Tangents & Normals
Unit 4:Mathematics Introduce various integration functions Aims
Homework Homework Assignment #31 Review Section 4.9
Calculus++ Approximate duration: From October 1 till April 20 October – December: Same topics as in the main Calculus course (calculation of limits, differentiation,
4. Entitled Strategies to Learn Physics
Welcome to my AP Calculus AB class
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image}
TITLE Authors Institution RESULTS INTRODUCTION CONCLUSION AIMS METHODS
Bell-Ringer.
A Preview of Calculus Lesson 2.1.
Deriving and Integrating Logarithms and Exponential Equations
Unit 6 – Fundamentals of Calculus Section 6
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image}
Solve the equation for x. {image}
Differential Calculus
Differential Equations Growth and Decay
Differential Equations Separation of Variables
MATH 2140 Numerical Methods
Metropolitan State University of Denver
Brackets, Factors and Equations
Increasing & Decreasing Functions First Derivative Test
Examples of Learning Activities
Differentiate. f (x) = x 3e x
Integration Chapter 30.
Integration Chapter 30.
17 credits CHEM 111 General Chemistry I CHEM 111L
Exponential Functions: Differentiation and Integration
Natural Logarithms - Differentiation
Sec 5.3: THE FUNDAMENTAL THEOREM OF CALCULUS
73 – Differential Equations and Natural Logarithms No Calculator
CALCULATING EQUATION OF LEAST SQUARES REGRESSION LINE
Differentiate the function:    {image} .
AP Calculus Jeopardy Sharma-Time Limits Q $100 Q $200 Q $300 Q $400
Use power series to solve the differential equation. y ' = 7xy
What is it? What good is it?
Section 10.6 Linear Differential Equations
Section 9.4 – Solving Differential Equations Symbolically
Which equation does the function {image} satisfy ?
Section 5.2 Definite Integrals
Workshop s43 Dynamic Geometry Session C.
Antidifferentiation by Substitution
Evaluate the integral {image}
Presentation transcript:

Advanced Mathematics D Calculus Advanced Mathematics D Prof. Jin Liang Tongji University

Part One Introduction

The Aim of this Course Learn Advanced Mathematics Learn English What is advanced mathematics What is advanced mathematics doing How is mathematical thinking Learn English What is saying in English about advanced mathematics

Calculus – Advanced Mathematics Different from High School Mathematics Calculate v.s Analysis Static v.s Dynamic Different from Social Science Philosophy v.s Arts Logical v.s Image

Method of Studying Advanced Mathematics Understanding deeply Deduce step by step Exercise

Part Two Functions Limites Derivatives Integration Differential Equations