AMANDO COPE COLLEGE
Baranghawon, Tabaco City
A.A. Berces St., Baranghawon, Tabaco City
Albay Philippines 4511
Tel. No. (052) 487 – 4455
E-mail: amandocopecollege2004@gmail.com
COLLEGE OF COMPUTER ENGINEERING
OUTCOMES-BASED SYLLABUS IN MATH 1: CALCULUS 1
ACC VISION ACC MISSION
Provide a culture of excellence and globally competitive graduates. Produce highly dedicated and value-oriented and competent professionals through
integrated learning experiences.
DEPARTMENT VISION DEPARTMENT MISSION
The ACC College of Engineering envisions itself to be a steeple of excellence in Committed to produce competitive engineers, equipped with research-based skills
engineering education. and quality technical knowledge for national growth and sustainable development.
CORE VALUES
Excellence ● Professionalism ● Social responsibility ● Commitment to Service
PROGRAM OUTCOMES
1. Apply knowledge of mathematics and science to solve complex engineering problems.
2. Design and conduct experiments, as well as to analyze and interpret data.
3. Design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety,
manufacturability, and sustainability, in accordance with standards,
4. Function on multidisciplinary teams
5. Identify, formulate, and solve complex engineering problems
6. Understand professional and ethical responsibility
7. Communicate effectively
8. Have a broad education necessary to understand the impact of engineering solutions in a global, economic, environmental and societal context.
9. Have a recognition of the need for, and an ability to engage in life-long learning.
10. Have a knowledge of contemporary issues.
11. Use techniques, skills, and modern engineering tools necessary for engineering practice; and
12. Have knowledge and understanding of engineering and management principles as a member and leader in a team, to manage projects and in multidisciplinary
environments.
COURSE DESCRIPTION
Department: COMPUTER ENGINEERING
Calculus I is an introduction to calculus with analytic geometry. It covers lines, circles, conic sections,
Course Code: MATH 1
special functions, limits, continuity, derivatives and their applications, differentials, antiderivatives,
Description: Calculus 1 definite integrals and their applications.
Pre-requisite: None
Credits: 3 (54 hours)
Contact Hours/Week: 3 hours (18 weeks)
At the end of the course, the STUDENTS SHOULD BE ABLE TO:
Knowledge
Course Intended Learning Outcomes (CILO) 1. Define continuity at a point and on an interval.
2. Evaluate the limit of a function using the limit theorems.
Skills
1. Use the definition to get the derivative of a function.
2. Compute antiderivatives of various functions and definite integrals
3. Solve problems involving areas of regions, volumes of solids of revolution, are lengths of curve and
differential equations.
Values
1. Apply the differentiation rules on various types of functions.
2. Apply the derivatives tests to find maximum
COURSE OUTLINE & TIME FRAME
WEEK TOPICS/SUBJECT MATTER
1-3 • Review of Functions and Graphs
• Introduction to Limits
• Calculating Limits
• Definition of Limits
• Continuity
• Limits at Infinity
• Rates of Change, Derivatives
4-6 • Definition of Derivatives
• Derivatives of Polynomials & Exponential Functions
• Product and Quotient Rules
• Derivatives of Trigonometric Functions
• Chain Rule, Implicit Differentiation, Higher Derivatives
• Derivatives of Logarithmic Functions
• Rates of Change (Applications)
• Related Rates, Linear Approximation and Differentials
7-9 Maximum and Minimum Values
Mean-Value Theorem
Optimization Problems, Applications to Business and Economics
Newton’s Method
10-12 Derivatives and Graphs
L’Hopital’s and Indeterminate Forms
Graph Sketching
Antiderivatives
13-15 • Areas and Distance
• The Definite Integral
• Fundamental Theorem of Calculus, Indefinite Integral
• Substitution Rule
• Areas Between Curves
• Average Value
16-18 • Volumes (Disk and Washer Method, Cylindrical Shells)
• Exponential Growth and Decay, Logistic Equation
• Arc Length
• Area in Polar Coordinates
LEARNING PLAN
DESIRED LEARNING COURSE TEXTBOOKS/ TEACHING AND LEARNING ASSESSMENT OF TASKS RESOURCE TIME
OUTCOMES (DLO) CONTENT/SUBJECT REFERENCES ACTIVITIES (TLAs) (ATs) MATERIALS TABLE
MATTER
