Paket Matkul SBM sem 1 (TPB ITB)

Deskripsi

Daftar Topik:

• Introduction, Functions and Graphs :
  1. Outline the course and tips
  2. Cartesian Coordinate System
  3. Straight Lines
  4. Linear Functions and Mathematical Model
  
• Limit and Derivative :
  1. Limits
  2. One-Sided Limits and continuity
  3. The Derivative
  4. Techniques of Differentiation
  
• Derivative :
  1. Product and Quotient Rules; Higher-Order Derivatives
  2. The Chain Rule – Marginal Analysis and Approximations Using Increment
  3. Implicit Differentiation
  
• Applications of derivative :
  1. Increasing and Decreasing Functions; Relative and absolute extrema
  2. Concavity and Points of Inflection
  3. Curve Sketching
  4. Optimizations; Elasticity of Demand
  5. Additional Applied Optimization
  
• Exponential and Logarithmic Functions :
  1. Exponential Functions; Continuous Compounding
  2. Logarithmic Functions
  3. Differentiation of Exponential and Logarithmic Functions
  4. Applications
  
• Integration :
  1. Antidifferentiation
  2. Integration by Substitution
  3. The Definite Integral and The Fundamental Theorem of Calculus
  4. Integration by Parts, Integral Tables
  5. Applying Definite Integration Area Between Curves and Average Value
  6. Additional Application to Business and Economics
  
• Additional Topics in Integration :
  1. Introduction to Differential Equations
  2. Improper Integral (type I).
  Sets and Counting :
  1. Set and Operations and Venn Diagram
  2. Permutation and Combination
  
• Probability :
  1. Definition of Probability and Rules
  2. Bayes Theorem
  3. Random Variables
  4. Double Integral
  
• Probability Distributions and Statistic :
  1. Binomial and Normal Distributions
  2. Expected Values
  3. Standard Deviations