In the ever-evolving landscape of business and society, the role of calculus and optimization transcends mere mathematical calculations; it embodies the critical process of understanding and applying mathematical concepts to enhance decision-making and strategic planning. These pivotal fields stand at the core of analyzing dynamic patterns and trends within economic and management contexts, empowering us to make informed decisions about future events and behaviors. Our course is meticulously designed to intertwine with our Mission Statement, aiming to nurture future business leaders who are not only innovative and ethical but also equipped with a robust “Frontier Spirit.” By embedding foundational calculus and optimization principles into the Global BBA program, we endeavor to create a knowledge base that propels modern business and society forward, fostering a new generation of leaders ready to navigate the challenges of tomorrow with confidence and acumen.

This course is crafted as a vital methodological pillar within the Global BBA program, laying down the mathematical bedrock upon which other courses will build. Through an immersive journey into fundamental calculus tools and optimization techniques, we delve into the core of mathematical concepts, encompassing rules of differentiation, further rules of differentiation, differentiation of exponential and logarithmic functions, optimization of economic functions, partial differentiation, indefinite integration, and definite integration. The curriculum is enriched with real-world case studies, engaging discussions, and dynamic interactive activities, ensuring a deep and practical understanding of mathematical applications in business. Our goal is to equip students with not just theoretical knowledge but also the practical skills to apply calculus and optimization effectively in their future endeavors.

Our ambition extends beyond the confines of traditional education. We aim for participants to emerge with a profound grasp of mathematical methods as they apply to economics and management. This course is designed to empower students to not only comprehend but also to apply these methods in dissecting economic and management issues. By the end of this journey, participants will be adept at leveraging calculus and optimization tools to unravel complex problems, craft innovative solutions, and make decisions grounded in solid empirical evidence. Through this transformative experience, we are committed to molding individuals who are not just spectators but active contributors to the advancement of their fields, embodying the true spirit of innovative and ethical leadership in the face of global challenges.

*本学の教育ミッションを具現化する形で設定されています。

Upon successful completion of this course, students will be able to:

- Master Fundamental Calculus Concepts: Students will understand and apply fundamental calculus concepts, including limits, differentiation, and integration, and recognize their relevance to business analysis.

- Apply Derivatives to Solve Business Problems: Gain proficiency in using derivatives to analyze and maximize business functions such as revenue, cost, and profit models. Students will be equipped to find critical points and use optimization techniques in a business context.

- Utilize Integration in Business Applications: Develop the ability to apply integration techniques to solve business-related problems, such as calculating consumer surplus, producer surplus, and other economic measures.

- Develop Analytical Skills in Business Contexts: Enhance analytical thinking skills by interpreting the results of calculus operations within business scenarios, facilitating better decision-making and strategic planning.

- Model Economic Functions Using Calculus: Learn to construct and analyze models of economic functions using calculus, enabling a deeper understanding of dynamic business environments and market changes.

- Apply Partial Differentiation to Multivariable Functions: Students will be able to apply partial differentiation to analyze functions of multiple variables, which is crucial for optimizing outcomes in complex business scenarios involving several independent factors.

教育手法 Teaching Method		% of Course Time
インプット型 Traditional		30 %
参加者中心型 Participant-Centered Learning	ケースメソッド Case Method	70 %
	フィールドメソッド Field Method	0 %
合計 Total		100 %

Course Prerequisites

- It is recommended that participants spend at least 3 hours preparing for each case, including reviewing the fundamental knowledge provided in the casebook. Participants seeking deeper insights may read the relevant chapters of the textbook, but the course will primarily be based on the content in the casebook.

Class Discussion

- This course emphasizes a highly interactive approach, with class discussions playing a central role in deepening understanding of calculus principles. These discussions are designed to bridge the gap between theoretical knowledge and its application in analyzing practical problems and decision-making scenarios.

- Key calculus concepts, methodologies, and the nuances of different case studies will be explored in detail through collaborative class discussions. The instructor will facilitate these discussions, guiding participants through the critical thinking and analytical processes necessary for effective calculus analysis and interpretation.

Feedback Methods

- Regular quizzes will be an integral part of the course structure to assess participants' understanding of the material and track their progress. Feedback will be provided after these quizzes to highlight areas of strength and opportunities for improvement.

- Constructive feedback sessions will form a key element of the course, enabling participants to engage in one-on-one discussions with the instructor. These sessions are an opportunity for participants to review their performance, clarify any uncertainties, and receive tailored advice to enhance their learning journey.

*成績は下記該当項目を基に決定されます。
*クラス貢献度合計はコールドコールと授業内での挙手発言の合算値です。

講師用内規準拠 Method of Assessment	Weights
コールドコール Cold Call	0 %
授業内での挙手発言 Class Contribution	50 %
クラス貢献度合計 Class Contribution Total	50 %
予習レポート Preparation Report	20 %
小テスト Quizzes / Tests	0 %
シミュレーション成績 Simulation	0 %
ケース試験 Case Exam	0 %
最終レポート Final Report	30 %
期末試験 Final Exam	0 %
参加者による相互評価 Peer Assessment	0 %
合計 Total	100 %

評価の留意事項　Notes on Evaluation Criteria

• Ian Jacques「Mathematics for Economics and Business」Prentice Hall（2009）
• Sydsaeter, Knut, and Peter Hammond「Essential Mathematics for Economic Analysis」Pearson（2008）

Previous versions of the textbooks are also acceptable for use in this course.

The course structure and content will be refined and updated based on feedback and recommendations from previous participants.

（実務経験 Work experience）

Refereed Articles

• (2024) Variance dynamics and term structure of the natural gas market. Energy Economics
• (2024) Eco-Financial Dynamics: How Green Finance and Renewable Energy Are Shaping a New Economic Era. NUCB Business Review
• (2023) Study on the spatial spillover effect and path mechanism of green finance development on China's energy structure transformation. Journal of Cleaner Production
• (2023) Effect of green finance reform and innovation pilot zone on improving environmental pollution: an empirical evidence from Chinese cities. Environmental Science and Pollution Research
• (2023) The Impact of Fintech Development on Air Pollution. International Journal of Environmental Research and Public Health