**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 |
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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 |