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Calculus I (202306-SLecture)
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MATH171 Calculus I
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Introduction : What is Calculus?
Introduction : Module Information Booklet
MI 202306
Learning Unit 1 : Preliminaries
AP1: Real Numbers and the Real Line
AP3: Lines, Circles, and Parabolas
1.1: Functions and Their Graphs
1.2: Combining Functions; Shifting and Scaling Graphs
1.3: Trigonometric Functions
Lecture Videos (AP1, AP3, 1.1, 1.2, 1.3)
Interactive Hub (Unit 1)
Learning Unit 2 : Limits and Continuity
2.1: Rates of Change and Tangents to Curves
2.2: Limit of a Function and Limit Laws
2.4: One-Sided Limits
2.5: Continuity
2.6: Limits Involving Infinity; Asymptotes of Graphs
Asynchronous Session (Limit Graphical)
Asynchronous Session (Limit Algebraic)
Asynchronous Session (Limit Infinity)
Lecture Videos (2.1, 2.2, 2.4, 2.5, 2.6)
Interactive Hub (Unit 2)
Learning Unit 3 : Differentiation
3.1: Tangents and the Derivative at a Point
3.2: The Derivative as a Function
3.3: Differentiation Rules
3.4: The Derivative as a Rate of Change
3.5: Derivatives of Trigonometric Functions
3.6: The Chain Rule
3.7 Implicit Differentiation
3.8 Related Rates
3.9 Linearization and Differentials
3.9 Linearization and Differentials
Lecture Videos (3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9)
Interactive Hub (Unit 3)
Learning Unit 4 : Applications of Derivatives
4.1: Extreme Values of Functions
4.2: The Mean Value Theorem
4.3: Monotonic Functions and the First Derivative Test
4.4: Concavity and Curve Sketching
4.5: Applied Optimization
4.6: Newton's Method
4.7: Antiderivatives
Lecture Videos (4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7)
Interactive Hub (Unit 4)
Graph Sketching Exercise
Learning Unit 5 : Integration
5.1: Area and Estimating with Finite Sums
5.2: Sigma Notation and Limits of Finite Sums
5.3: The Definite Integral
5.4: The Fundamental Theorem of Calculus
5.5: Indefinite Integrals and the Substitution Method
5.6: Substitution and Area Between Curves
Lecture Videos (5.1, 5.2, 5.3, 5.4, 5.5, 5.6)
Interactive Hub (Unit 5)
Learning Unit X : Extra Resources
MATH171 Formula Sheet
ShowMe: Video Lessons
Khan Academy: Short Video Lessons
Paul's Online Math: Interactive Textbook
David Little: Interactive Demo
MIT OpenCoursware: E Learning Site
Softtware Download: Wolfram CDF Player for Interactive Hub
Assessment : Participation
Assessment : Assignment
Homework Assignment 202306 (Compilation Exercises 1.1 until Graph Sketching Exercise)
Assessment : Quiz
Quiz1 202306
Quiz2 202306
Quiz 3 202306
Extra Quiz 202306
Assessment : Test
Test Paper Record Keeping 202306
Tool : Zoom & Notice & Chat
Tool : Calculator & Simulator
Tool : Game
Conclusion : Result
202306 CWM
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Advanced Diploma
Bachelors Degree
Course templates
Diploma
Doctoral Degree
Foundation/Certificates
LoadTest
Master Course
Masters Degree
Miscellaneous
School of Medicine
SoPU-CAL
SoPU-SACEi
Training and Development
Online Course
Degree/Master/Doctor Bridging Course
Micro-credential
Home
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Dashboard
My Courses
User Guide
Collapse
Expand
Lecturer
Student
Mobile App
Wiki
Student Guidelines for the Use of Generative AI
More
Collapse
Expand
X-Studio Booking
Taylor's Library
Student TES
Course info
Calculus I (202306-SLecture)
Lecturer:
Ng Eng Hui .
Skill Level
:
Beginner