Calculus

OVERVIEW

1. Code: SCIE1800

2. Condition:

• Prerequisite: None

• Previous course: None

3. Property: Compulsory

4. Major/ Training Program: Natural Science Teacher Education

5. Number of credits: 3; Number of periods: 60

DESCRIPTION

OUTCOMES

1. Quality: 

2. Competence:

CONTENTS

Chapter 1 Functions

1.1 Functions

1.2 Inverse functions

1.3 Hyperbolic functions

Chapter 2 Limits and Derivatives

2.1 Limits of function

2.2 Continuity of function

2.3 Differentiability, differentiation, derivatives, and high-order derivatives

2.4 Taylor - Maclaurin polynomials

Chapter 3 Integrals

3.1 Indefinite integrals

3.2 Definite integrals

Chapter 4 Multi-variable functions

4.1 Multi-variable functions, limits, and continuity

4.2 Differentiation of multivariable functions

4.3 Extremes

Chapter 5 Differential equations

5.1 First-order differential equations

5.2 Second-order differential equations

MATERIALS

1. Nguyen Le Anh (2023), Essential calculus for Natural Science students, internal use.
   Available view here.

2. Nguyen Le Anh, Luong Le Hai,  Nguyen Minh Hai, Nguyen Vu Thu Nhan (2022), Mathematics for Physics. Part 1. Calculus of single-variable functions and Series, to be published.
   Available view here.

3. Luong Le Hai, Nguyen Minh Nhut, Nguyen Le Anh, Nguyen Vu Thu Nhan (2023),  Mathematics for Physics. Part 2. Calculus of multi-variable functions and differential equations, HCMUE Publishing.
   Available view here.

4. Do Cong Khanh (2013), Calculus of single-variable functions and series theory, VNU-HCM.

5. To Van Ban (2021), Lectures on Calculus 1 (beta edition), unpublished.
   Available download here.

6. Nguyen Dinh Tri, Ta Van Dinh & Nguyen Ho Quynh (2006), Advanced Mathematics (volume II), Vietnam Education Publishing House.
   Available download here.

7. Vu Thi Hong Thanh (2018), Textbook of Calculus, Vinh University (unpublished).
   Available download here.

8. Bui Xuan Dieu (2019), Lectures on Series - Differential equation - Laplace transform, Hanoi University of Science and Technology (unpublished).
   Available download here.

9. Do Cong Khanh (2016), Calculus of multivariable functions and differential equations, VNU-HCM.

10. James Stewart (2016), Calculus (8th edition), Cengage Learning.
    Available download here.

11. George B. Thomas, Maurice D. Weir & Joel Hass (2010). Thomas’ calculus (13th edition), Boston, Mass, USA: Addison-Wesley.
    Available download here.

12. Ron Larson & Bruce Edward (2014), Calculus (10th edition), Cengage Learning.
    Available download here.

WEBSITES

• https://www.wolframalpha.com/ 

• https://www.overleaf.com/ 

• https://www.geogebra.org/ 

• https://maxima.sourceforge.io/download.html 

ASSESSMENTS

• Weekly assignments: 10%

• Midterm test: 30%

• Final test: 60%

SCHEDULE (to be updated annually)

1. Week 1: skip

2. Week 2: skip

3. Week 3: skip

4. Week 4: Oct 09, Oct 10 & Oct 12, 2023

• Topics: Limits, derivatives

• Materials: 

• Handouts: lecturer 

• Problems: 

5. Week 5: Oct 16, Oct 17 & Oct 19, 2023

• Topics:  Derivatives

• Materials: 

• Handouts: 

• Problems: 

6. Week 6: Oct 23, Oct 24 & Oct 26, 2023

• Topics:  Taylor-Maclaurin series

• Materials: 

• Handouts: 

• Problems: 

7. Week 7: Oct 30, Oct 10 & Oct 12, 2023

• Topics:  Infinite integral

• Materials: 

• Handouts: lecturer

• Problems: 

8. Week 8: Nov 06, Nov 07 & Nov 09, 2023

• Topics:  Definite integral

• Materials: 

• Handouts: 

• Problems: 

9. Week 9: Nov 13, Nov 14 & Nov 16, 2023

• Topics:  Multivariable functions

• Materials: 

• Handouts: lecturer

• Problems: 

10. Week 10: Nov 20, Nov 21 & Nov 23, 2023

• Topics: First-order differential equations

• Materials: 

• Handouts: 

• Problems: 

11. Week 11: Nov 27, Nov 28 & Nov 30, 2023

• Topics: Mid-term test

• Materials: 

• Handouts: lecturer

• Problems: 

12. Week 12: Dec 04, Dec 05 & Dec 07, 2023

• Topics: Second-order differential equations

• Materials: 

• Handouts: lecturer

• Problems: