2301107 CALCULUS I
| Course Number | 2301107 | |
|---|---|---|
| Course Credits | 3 (3-0-6) | |
| Course Abbrviation | CALCULUS I | |
| Course Title (TH) | แคลคูลัส 1 | |
| Course Title (EN) | Calculus I | |
| Responsible Unit | Faculty of Science, Department of Mathematics and Computer Science | |
| Type of Course | International Course | |
| Semester | Intl 1st semester | |
| Academic Year | 2024 | |
| Course Coordinator | ||
| Measurement Method | ||
| Type of Course | Semester Course | |
| Course Condition | None | |
| Course Status | Required | |
| Instructors / staffs | ||
| Enrollment conditions | None | |
| Degree level | Bachelor | |
| Related curricular | Bachelor of Science in Biotechnology (2562) | |
| Bachelor of Science in Biotechnology (2567) | ||
| Course description (TH) | ลิมิต ความต่อเนื่อง การหาอนุพันธ์และการอินทิเกรตของฟังก์ชันค่าจริงของหนึ่งตัวแปรจริง และการประยุกต์เทคนิคการอินทิเกรต อินทิกรัลไม่ตรงแบบ | |
| Course description (EN) | Limits; continuity; differentiation and integration of real-valued functions of a real variable and their applications; techniques of integration; improper integrals | |
| Curriculum mapping | / | CU-1.1: Behavioral Objectives Possessing well-rounded knowledge |
| / | CU-1.2: Possessing in-depth knowledge | |
| / | CU-2.1: Being moral and ethical | |
| / | CU-2.2: Having an awareness of etiquette | |
| / | CU-3.1: Being able to think critically | |
| / | CU-3.2: Being able to think creatively | |
| / | CU-3.3: Having skills in problem solving | |
| / | CU-4.1: Having professional skills | |
| CU-4.2: Having communication skills | ||
| CU-4.3: Having skills in information technology | ||
| / | CU-4.4: Having mathematical and statistical skills | |
| CU-4.5: Having management skills | ||
| / | CU-5.1: Having an inquiring mind | |
| / | CU-5.2: Knowing how to learn | |
| CU-5.3: Having leadership qualities | ||
| CU-5.4: Maintaining well-being | ||
| CU-5.5: Being community-minded and possessing social responsibility | ||
| CU-5.6: Sustaining Thainess in a globalized world | ||
| / | subPLO1.1 Explain biotechnology knowledge in practice. | |
| subPLO1.2 Analyze biotechnology knowledge in practice. | ||
| subPLO1.3 Apply biotechnology knowledge in practice. | ||
| PLO2 Employ biotechnology-related technology and scientific tools. | ||
| PLO3 Communicate effectively in English within the Biotechnology field | ||
| PLO4 Demonstrate behavior that aligns with ethical principles, moral values, and professional ethics. | ||
| PLO5 Demonstrate social responsibility, courage, and creativity. | ||
| Course learning outcome (CLO) | 1. | |
| 2. | ||
| 3. | ||
| 4. |
| # | Date | Time | Learning content | Instructor | CLO | Remark |
|---|---|---|---|---|---|---|
| 1 | Introduction & Explaining Course Syllabus 2.2Definition of limits 2.3 Techniques for computing Limits | |||||
| 2 | Introduction & Explaining Course Syllabus 2.2Definition of limits 2.3 Techniques for computing Limits | |||||
| 3 | 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity | |||||
| 4 | 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity | |||||
| 5 | 3.1 Introducing the Derivative 3.2 Working with Derivatives 3.3 Rules of Differentiation 3.4 The Product Rule and Quotient Rules 3.5 Derivatives of Trigonometric Funtions | |||||
| 6 | 3.1 Introducing the Derivative 3.2 Working with Derivatives 3.3 Rules of Differentiation 3.4 The Product Rule and Quotient Rules 3.5 Derivatives of Trigonometric Funtions | |||||
| 7 | 3.7 The Chain Rule 3.8 Implicit Differentiation Exponential and Logarithmic Functions 3.9 Derivatives of Logarithmic and Exponential Function | |||||
| 8 | 3.10 Derivatives of Inverse trigonometric Functions 3.11 Related Rates 4.1 Maxima and minima | |||||
| 9 | 3.10 Derivatives of Inverse trigonometric Functions 3.11 Related Rates 4.1 Maxima and minima | |||||
| 10 | 4.2 What Derivatives Tell Us 4.3 Graphing Functions | |||||
| 11 | 4.2 What Derivatives Tell Us 4.3 Graphing Functions | |||||
| 12 | 4.4 Optimization Problem 4.5 Linear Approximation and Differentials 4.7 L' Hopital's Rule Review for the Midterm Exam | |||||
| 13 | 4.4 Optimization Problem 4.5 Linear Approximation and Differentials 4.7 L' Hopital's Rule Review for the Midterm Exam | |||||
| 14 | 4.9 Antiderivatives 5.1 Approximating Areas under Curves | |||||
| 15 | 4.9 Antiderivatives 5.1 Approximating Areas under Curves | |||||
| 16 | 5.2 Definite Integrals 5.3 Fundamental Theorem of Calculus | |||||
| 5.2 Definite Integrals 5.3 Fundamental Theorem of Calculus | ||||||
| 5.5 Substitution rule 6.2 Regions Between Curves | ||||||
| 5.5 Substitution rule 6.2 Regions Between Curves | ||||||
| 6.3 Volume by Slicing 6.4 Volume by Shells | ||||||
| 6.3 Volume by Slicing 6.4 Volume by Shells | ||||||
| 7.2 Integration by Parts 7.3 Trigonometric Integrals | ||||||
| 7.2 Integration by Parts 7.3 Trigonometric Integrals | ||||||
| 7.4 Trigonometric Substitutions 7.5 Partial Fractions | ||||||
| 7.4 Trigonometric Substitutions 7.5 Partial Fractions | ||||||
| 7.8 Improper Integrals | ||||||
| 7.8 Improper Integrals | ||||||
| Review for the Final Exam | ||||||
| Review for the Final Exam |
| Teaching/learning media | |||
| Communication channels / LMS | |||
| Type | Channel identifier / URL | Remarks | |
| Learning Management System (LMS) | |||
| Assessment method | Level of assessment | Related CLO | Percentage |
| Assignment | Bloom’sTaxonomy(Analyzing) | ||
| Mid-term examination | Bloom’sTaxonomy(Analyzing) | ||
| Final examination | Bloom’sTaxonomy(Analyzing) | ||
| Grading | Grading System | Letter Grad (A-F) | |
| Grading method | Criterion-referenced Grading (อิงเกณฑ์) | ||
| Minimum Passing Level (MPL) | 50 | ||
| Reading list | |||
| Course evaluation | Course evaluation system | myCourseVille | |
| Details of improvement from previous evaluation | – | ||
| Course quality control | Responses to complaints / petitions from students | Directly to the instructor |