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Course Module

Bioprocess Engineering Study Program Department of Agricultural Engineering Faculty of Agricultural Technology Universitas Brawijaya

Module name Basic Mathematics Module level Undergraduate program

Code TPE61002

Subtitle -

Courses Basic Mathematics

Semester(s) 1

Person responsible for the module

1. Dr. Ir. Bambang Dwi Argo, DEA 2. Dr. M. Bagus Hermanto, STP, M.Si 3. Dr. Putri Setiani, ST, M.ES

4. Zaqlul Iqbal, STP, M.Si

5. Luhur Akbar Devianto, ST, MT 6. Ubaidillah, STP, M.Si

Lecturer 7. Dr. Ir. Bambang Dwi Argo, DEA 8. Dr. M. Bagus Hermanto, STP, M.Si 9. Dr. Putri Setiani, ST, M.ES

10. Zaqlul Iqbal, STP, M.Si

11. Luhur Akbar Devianto, ST, MT 12. Ubaidillah, STP, M.Si

Language Bahasa Indonesia, English Relation to curriculum Compulsory/elective Type of teaching,

contact hours

Lecture: 26.67 hours / 1.00 ECTS Self-Learning: 32 hours / 1.20 ECTS Assignment: 32 hours / 1.20 ECTS Workload 90.67 hours/ 3.40 ECTS per semester

Lecture, assignment, and private study Credit points 2 SKS / 3.4 ECTS

Requirements according to the examination regulations Recommended prerequisites

- Module

objectives/intended learning outcomes

ILO-1: Able to acquire a sound knowledge in mathematics and natural science and apply engineering principles in determining and solving contemporary and complex problems related to bioprocessing.

Attendance: 80%

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Objectives:

The objectives of the basic mathematics course are to provide students in the agricultural engineering department with a foundation in fundamental mathematical concepts such as functions, limits, and logic, as well as to teach them the basics of numerical calculations using the Newton-Raphson method and Taylor series. These concepts will serve as a basis for further advanced mathematics courses.

Knowledges:

The basic mathematics course covers several key areas of knowledge including fundamental concepts such as functions, limits, and logic, as well as numerical calculations using the Newton-Raphson method and Taylor series. Additionally, the course aims to provide students in the agricultural engineering department with a strong foundation in mathematical principles that will be essential for future advanced courses. Through this course, students will gain a comprehensive understanding of the core concepts and principles of mathematics that are essential for success in their academic and professional pursuits.

Skills: Cognitive

The basic mathematics course also aims to develop various skills in students. These skills include the ability to solve problems using mathematical principles, apply mathematical concepts to real-world situations, and analyze and interpret data using mathematical techniques. The course also focuses on developing critical thinking and logical reasoning skills, as well as improving students' ability to communicate mathematical ideas clearly and effectively. By the end of the course, students should have a solid foundation in both the theoretical and practical aspects of mathematics and be able to apply this knowledge and these skills in a variety of academic and professional contexts.

Competences:

CLO-1: Able to understand and calculate mathematical function problems (inverse, composition, exponential, logarithm, and trigonometry),

CLO-2: Able to understand the concept of limit and calculate the limit problem,

CLO-3: Able to understand and calculate mathematical logic and series problems

Content Lecture:

1. Inverse Function, Composition

Students are able to know the application of mathematics in daily life, as well as calculating the completion of inverse functions and compositional functions

2. Exponential Function, Logarithmic

Students are able to understand and calculate the completion of exponential functions and logarithmic functions

3. Trigonometrical Function

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Students are able to understand equations, properties and graphs of trigonometric functions and calculate the completion of trigonometric equations and inequalities

4. Concept of Limit and Limit Problem

Students are able to understand the basic concept of limits, calculate continuity limit problems and trigonometry limits

5. Application of Limit

Students are able to solve limit application problems: tangent lines and areas

6. Taylor Row and Newton-Rhapson

Students are able to solve Taylor and Newton-Raphson series problems

7. Mathematical Logic

Students can demonstrate and solve basic mathematical logic with logical operators

Study and examination requirements and forms of examination

How to score:

Final Exam: 35%

Midterm Exam: 35%

Assignment 1: 15%

Assignment 2: 15%

A : 80<Final Score≤100 B+ : 75< Final Score≤80 B : 69< Final Score≤75 C+ : 60< Final Score≤69 C : 55< Final Score≤60 D : 50 < Final Score≤55 D+ : 44< Final Score≤50 E : 0< Final Score≤44

Media employed Class, Course in Video or Powerpoint (PPT) Reading list 1. CALCULUS 1

2. Engineering Mathematics, K.A. Stroud, Industrial Press, Inc. New York

3. Basic Mathematics Teaching Module

Referensi

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