Math 106 Applied Calculus.

Math 106 Syllabus, Term 241 (2024-2025)           

Students Grades, quizzes, old quizzes and Solutions         Grading Policy:               

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Classwork has been posted. You have 24 hours to review your grade and discuss it with me if needed.

Till 1 pm Monday

Math 106 Final Exam Information (Term 241)
Date: Thursday, 19 December 2024
Time: 8:00 - 10:00 AM. (MORNING)
Duration: 120 minutes.
Place: Building 57. (Room 303 for MALE and Room 307 for FEMALE)
Material: Comprehensive.
Exam Type: 20 MCQ
Important Instructions for Students:
➢ Do not bring any mobile, smart watch, or any electronic device to the exam
hall. A violation of this will be considered an attempt of cheating.
➢ Bring your KFUPM ID (or National/Iqama ID, or Driver’s license) with you.
Otherwise, you will not be allowed to take the exam. As mobiles are not
allowed in the exam, TAWAKALNA cannot be checked.
➢ Know your room number. Sitting in a room different from the one assigned
to you will be considered a means of cheating.
➢ Come to the exam room at least 30 minutes before the start of the exam.
➢ If you have a medical situation (e. g., being diabetic) that urges you to go to
the bathroom, please bring an evidence (e. g., a medical report).

Chapter 10: Limits and Continuity

10.1 Limits

10.2 Limit (Continued)

10.3 Continuity

Chapter 11: Differentiation

11.1 The Derivative

11.2 Rules for differentiation

11.3 The derivative as a rate of change      

11.4 Product & quotient rule    Exercises

11.5 The chain rule & the power rule   Exercises   Example

Chapter 12: Additional Differentiation Topics

12.1 Derivatives of Logarithmic Functions

 12.2 Derivatives of Exponential Functions

12.3 Elasticity of Demand

 12.4 Implicit Differentiation        Exercises

 12.5 Logarithmic Differentiation    Exercises

 12.6 Newton’s Method

12.7 Higher-Order Derivatives

Chapter 13: Curve Sketching

13.1) Relative Extrema

13.2) Absolute Extrema on a Closed Interval

13.3) Concavity

13.4) The Second-Derivative Test

13.5) Asymptotes

13.6) Applied Maxima and Minima

Chapter 14: Integration

                     14.1 Differentials

                     14.2 The Indefinite Integral

                     14.3 Integration with Initial Conditions

                     14.4 More Integration Formulas

                     14.5 Techniques of Integration

                     14.6 The Definite Integral

                     14.7 The Fundamental Theorem of Calculus

                     14.8 Approximation Integration

                     14.9 Area between Curves

                     Handouts: Differentiation and Integration of Trigonometric Functions     Tri-Id   Tri-Fun   2nd-Handout

Chapter 15: Methods and Applications of Integration

                     15.1) Integration by parts

                     15.3) Integration by Tables

                     Table (Appendix B) of selected Integral

Chapter 17: Multivariable Calculus

                     17.1) Partial Derivatives

                     17.4) Higher-Order Partial Derivarives

                     17.6) Maxima and Minimafor Functions of Two Variables         Example 11