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Rencana Pembelajaran Semester

Calculus II

Universitas Dirgantara Marsekal Suryadarma

Course Information

  • Course Code: MAT201
  • Credit Units: 3 SKS
  • Semester: 2nd Semester
  • Academic Year: 2023/2024
  • Language: English

Course Description

Calculus II continues the mathematical foundation established in Calculus I. This course covers integration techniques, applications, sequences, series, and basic differential equations. Students will develop analytical skills and problem-solving abilities essential for engineering, physics, and quantitative sciences.

Learning Objectives

  • Apply integration techniques (substitution, parts, partial fractions)
  • Solve real-world problems using integration (area, volume, work)
  • Evaluate improper integrals
  • Analyze sequence convergence and determine series convergence
  • Work with power series and Taylor series approximations
  • Solve basic first-order differential equations
  • Develop analytical thinking and problem-solving skills

Prerequisites

  • Calculus I (MAT101) or equivalent
  • Familiarity with limits, derivatives, and basic integration
  • Proficiency in trigonometric functions and algebraic manipulation

Course Materials

  • Stewart, James. "Calculus: Early Transcendentals". 8th Edition.
  • Thomas, George B., et al. "Thomas' Calculus". 14th Edition.
  • Course handouts and mathematical software (MATLAB or GeoGebra)

Semester Schedule

Week Topic Activities & Assessment
1 Review of Calculus I concepts Lecture, problem-solving, diagnostic quiz
2 Integration techniques: Substitution Lecture, practice problems, group work, homework
3 Integration by parts and trigonometric integrals Lecture, practice exercises, in-class activities, homework
4 Trigonometric substitution and partial fractions Lecture, collaborative learning, Quiz 1
5 Numerical integration and improper integrals Lecture, computer lab session, lab report
6 Applications: Area between curves Lecture, problem-solving, case studies, homework
7 Applications: Volumes by cross-sections and disks Lecture, visualization activities, project proposal
8 Midterm Examination Comprehensive examination
9 Applications: Cylindrical shells and arc length Lecture, group discussion, homework
10 Work, fluid forces, and moments Lecture, practical applications, homework
11 Sequences and series: Basic concepts Lecture, interactive examples, Quiz 2
12 Tests for convergence: Integral and comparison tests Lecture, proof-based activities, homework
13 Tests: Ratio, root, and alternating series tests Lecture, peer instruction, project progress report
14 Power series and Taylor polynomials Lecture, computer exploration, homework
15 Introduction to differential equations Lecture, modeling activities, Quiz 3
16 Final review and project presentations Review session, student presentations
17 Final Examination Period Comprehensive examination

Assessment Methods

  • Homework Assignments: 15%
  • Quizzes: 15%
  • Midterm Examination: 25%
  • Final Project: 15%
  • Final Examination: 30%

Academic Integrity

Academic dishonesty (cheating, plagiarism) will result in severe consequences, including possibly failing the course. Collaborative learning is encouraged but students must submit their own work unless specified otherwise.

Course Policies

  • Attendance: Regular attendance expected. Missing more than 4 sessions without excuse may affect final grade.
  • Timeliness: Late submissions incur 10% penalty per day without prior arrangement.
  • Make-up Assessments: Only for documented emergencies with prior notification when possible.
  • Electronic Devices: Laptops for note-taking; phones silenced during class.

Support Services

  • Mathematics Tutorial Center: Building A, Room 204 (Mon-Fri, 9 AM-5 PM)
  • Library Resources: Additional textbooks and online resources available
  • Online Learning: Supplementary materials on the learning management system

Instructor Contact Information

  • Name: Dr. Budi Santoso
  • Email: budi.santoso@unsur.ac.id
  • Office: Mathematics Department, Room 305
  • Office Hours: Tuesday and Thursday, 2:00-4:00 PM (by appointment)
  • Teaching Assistant: Ahmad Pratama

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