Calculus 1 - Ders Videoları ve Notları

Week 1

• Lecture & Prob Solving Videos
  • Lecture 1 - Rates of changes and tangent to curves
  • Lecture 2 - Limit of a function and limit laws
  • Lecture 3 - One sided limits
  • Lecture 4 - Sandwich Theorem and other tools for computing limits
  • Problem Solving - part 1
  • Problem Solving - part 2
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 2

• Lecture & Prob Solving Videos
  • Lecture 5 - Continuity
  • Lecture 6 - IVT
  • Lecture 7 - Limits involving infinity, asymptote of graphs
  • Problem Solving - part 3
  • Problem Solving - part 4
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 3

• Lecture & Prob Solving Videos
  • Lecture 8 - Tangents, Derivative at a point
  • Lecture 9 - Derivative as a function
  • Lecture 10 - Differentiation Rules
  • Lecture 11 - Derivatives of Trigonometric functions
  • Problem Solving - part 5
  • Problem Solving - part 6
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 4

• Lecture & Prob Solving Videos
  • Lecture 12 - Chain Rule
  • Lecture 13 - Implicit Differentiation
  • Lecture 14 - Derivatives of inverse functions and logarithms
  • Problem Solving - part 7
  • Problem Solving - part 8
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 5

• Lecture & Prob Solving Videos
  • Lecture 15 - Inverse trigonometric functions
  • Lecture 16 - Related rates
  • Lecture 17 - Differentials
  • Lecture 18 - Linearizaiton
  • Problem Solving - part 9
  • Problem Solving - part 10
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 6

• Lecture & Prob Solving Videos
  • Lecture 19 - Extreme values of functions
  • Lecture 20 - Rolles Thm
  • Lecture 21 - Mean Value Thm & exp (x) and ln (x)
  • Problem Solving - part 11
  • Problem Solving - part 12
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 7

• Lecture & Prob Solving Videos
  • Lecture 22 - Monotonic functions and first derivative test
  • Lecture 23 - Concavity
  • Lecture 24 - Curve Sketching
  • Lecture 25 - Graphical behavior of functions from derivtaives
  • Lecture 26 - Indeterminite Forms and L'Hopitals Rule
  • Problem Solving - part 13
  • Problem Solving - part 14
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 8

• Lecture & Prob Solving Videos
  • Lecture 27 - Optimization
  • Lecture 28 - Newton's Method
  • Lecture 29 - Antiderivatives
  • Problem Solving - part 15
  • Problem Solving - part 16
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 9

• Lecture & Prob Solving Videos
  • Lecture 30 - Area and Estimating with Finite Sums
  • Lecture 31 - Sigma Notation
  • Lecture 32 - Riemann Sum
  • Lecture 33 - The Definite Integral
  • Problem Solving - part 17
  • Problem Solving - part 18
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 10

• Lecture & Prob Solving Videos
  • Lecture 34 - Fundamental Thm of Calculus
  • Lecture 35 - Area and Definite Integral
  • Lecture 36 - Indefinite Integrals and Substitution Method
  • Lecture 37 - Subs for Definite Integrals and Area between Curves
  • Problem Solving - part 19
  • Problem Solving - part 20
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template

Week 11

• Lecture & Prob Solving Videos
  • Lecture 38 - Volumes Using Cross Sections
  • Lecture 39 - Disk Method
  • Lecture 40 - Washer Method
  • Lecture 41 - Cylindirical Shell Method
  • Problem Solving - part 21
  • Problem Solving - part 22
• Lecture &Prob Solving Notes
  • Lecture
  • Lecture Template
  • Problem Solving
  • Problem Solving Template