E-Mail: Meeting Times and Location: Via LMS/online
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Richard GomezE-Mail: Meeting Times and Location: Via LMS/online
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Richard GomezSyllabus for PBSARC 012 (20-2-X0265), Differential
and Integral Calculus
Instructor: Atty./Engr. Richard V. Gomez
E-mail: 1972.richardgomez@gmail.com
Meeting times and location: via LMS/online
Course Objectives: Students completing the course should be able to recognize and
use the following concepts and methods of calculus when they occur in their
disciplines:
- Differentiation: definition via limits, derivations rules, applications including
optimization.
- Basic functions (exp and log, trig and inverse trig) and their derivatives.
- Integration: antiderivatives and integration by substitution, integration by parts,
definite integral,
Fundamental Theorem of Calculus.
Textbook: Differential and Integral Calculus 6th edition.By Love and Rainville
Calculators : Calculators are NOT permitted on quizzes, mid-term
exams and the final exam.
Academic Honesty: Collaboration on quizzes, mid-term exams and final exam is
not allowed. A necessary prerequisite to the attainment of the goals of the
University is maintaining complete honesty in all academic work. Students are
expected to present as their own only that which is clearly their own work in tests
and in any material submitted for credit. Students may assist others in doing work .
Important:
1) Any student with a disability is encouraged to meet with the instructor during
the first week of classes to discuss accommodations..
2) If you have conflicts with an important class activity (quiz, mid-term, or final),
you should let your instructor know ahead before the introduction of new topics.
You should also show an excused letter to your instructor.
Syllabus: Syllabus is subject to change. It is your responsibility to be aware of any
changes the instructor may make to the syllabus as they are announced in class.
Students are responsible for all information given when they are absent.
Schedule of Topics and Suggested Homework Exercises
Week 1:
The Tangent and Velocity
The Limit of a Functions
Calculating Limits Using the Limit Laws
Week 2 (partial):
Continuity
Limits at Infinity; Horizontal Asymptotes
Week 3:
Derivatives and Rates of Change
The Derivative as a Function
Derivatives of Polynomials and Exponential Functions
Week 4:
The Product and Quotient Rules
Derivatives of Trigonometric
The Chain Rule
Week 5:
Implicit Differentiation
Derivatives of Logarithmic Functions
Rates of Change in the Natural and Social Sciences
Week 6:
Exponential Growth and Decay
Related Rates
Linear Approximations and Differentials
Week 7:
Hyperbolic Functions
Week 8 (partial):
Maximum and Minimum Values
The Mean Value Theorem
Week 9:
How Derivatives Affect the Shape of a Graph
Indeterminate Forms and L’Hospital’s Rule
Summary of Curve Sketching
Week 10:
Optimization Problems
Antiderivatives
Areas and Distances
Week 11:
The Definite Integral
The Fundamental Theorem of Calculus
Indefinite Integrals and the Net Change Theorem
Week 12:
The Substitution Rule
Areas Between Curves
Volumes
Week 13:
Average Value of a Function
Week 14 (partial):
Integration by Parts (day 1)
Week 15:
Integration by Parts (day 2)
Trigonometric Integrals
Volumes by Cylindrical Shells (if time permits)
Work (if time permits)
Final Exam is based on all sections
covered in class.